Divisors of 17388: All 48 Factors

Divisors (Factors) Calculator

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 17388

The number 17388 has 48 divisors:

1,  2,  3,  4,  6,  7,  9,  12,  14,  18,  21,  23,  27,  28,  36,  42,  46,  54,  63,  69,  84,  92,  108,  126,  138,  161,  189,  207,  252,  276,  322,  378,  414,  483,  621,  644,  756,  828,  966,  1242,  1449,  1932,  2484,  2898,  4347,  5796,  8694,  17388

Divisor Pairs of 17388

Each pair multiplies to 17388:

Number of Divisors

The number 17388 has 48 divisors, written as τ(17388) = 48 in number theory.

Sum of Divisors

σ(17388) = 1 + 2 + 3 + 4 + 6 + 7 + 9 + 12 + 14 + 18 + 21 + 23 + 27 + 28 + 36 + 42 + 46 + 54 + 63 + 69 + 84 + 92 + 108 + 126 + 138 + 161 + 189 + 207 + 252 + 276 + 322 + 378 + 414 + 483 + 621 + 644 + 756 + 828 + 966 + 1242 + 1449 + 1932 + 2484 + 2898 + 4347 + 5796 + 8694 + 17388 = 53760

Prime Factorization of 17388

See the full prime factorization calculator →

Properties of 17388

• 17388 is composite.
• 17388 is not a perfect square.
• Number of divisors: 48.
• Sum of divisors: 53760.

Common Divisors with Another Number?

Looking for the divisors that 17388 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 17388

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √17388 ≈ 131.86. If i divides 17388, then both i and 17388/i are divisors.

1. 1 divides 17388 (17388 ÷ 1 = 17388) → pair (1, 17388)
2. 2 divides 17388 (17388 ÷ 2 = 8694) → pair (2, 8694)
3. 3 divides 17388 (17388 ÷ 3 = 5796) → pair (3, 5796)
4. 4 divides 17388 (17388 ÷ 4 = 4347) → pair (4, 4347)
5. 6 divides 17388 (17388 ÷ 6 = 2898) → pair (6, 2898)
6. 7 divides 17388 (17388 ÷ 7 = 2484) → pair (7, 2484)
7. 9 divides 17388 (17388 ÷ 9 = 1932) → pair (9, 1932)
8. 12 divides 17388 (17388 ÷ 12 = 1449) → pair (12, 1449)
9. 14 divides 17388 (17388 ÷ 14 = 1242) → pair (14, 1242)
10. 18 divides 17388 (17388 ÷ 18 = 966) → pair (18, 966)
11. 21 divides 17388 (17388 ÷ 21 = 828) → pair (21, 828)
12. 23 divides 17388 (17388 ÷ 23 = 756) → pair (23, 756)
13. 27 divides 17388 (17388 ÷ 27 = 644) → pair (27, 644)
14. 28 divides 17388 (17388 ÷ 28 = 621) → pair (28, 621)
15. 36 divides 17388 (17388 ÷ 36 = 483) → pair (36, 483)
16. 42 divides 17388 (17388 ÷ 42 = 414) → pair (42, 414)
17. 46 divides 17388 (17388 ÷ 46 = 378) → pair (46, 378)
18. 54 divides 17388 (17388 ÷ 54 = 322) → pair (54, 322)
19. 63 divides 17388 (17388 ÷ 63 = 276) → pair (63, 276)
20. 69 divides 17388 (17388 ÷ 69 = 252) → pair (69, 252)
21. 84 divides 17388 (17388 ÷ 84 = 207) → pair (84, 207)
22. 92 divides 17388 (17388 ÷ 92 = 189) → pair (92, 189)
23. 108 divides 17388 (17388 ÷ 108 = 161) → pair (108, 161)
24. 126 divides 17388 (17388 ÷ 126 = 138) → pair (126, 138)
25. Collect all unique values: {1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 27, 28, 36, 42, 46, 54, 63, 69, 84, 92, 108, 126, 138, 161, 189, 207, 252, 276, 322, 378, 414, 483, 621, 644, 756, 828, 966, 1242, 1449, 1932, 2484, 2898, 4347, 5796, 8694, 17388} — total 48 divisors.
26. Sum: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 12 + 14 + 18 + 21 + 23 + 27 + 28 + 36 + 42 + 46 + 54 + 63 + 69 + 84 + 92 + 108 + 126 + 138 + 161 + 189 + 207 + 252 + 276 + 322 + 378 + 414 + 483 + 621 + 644 + 756 + 828 + 966 + 1242 + 1449 + 1932 + 2484 + 2898 + 4347 + 5796 + 8694 + 17388 = 53760.

Nearby Examples

Related Operations for 17388

• Multiples of a Number — "outward" complement of divisors
• 17388 Prime Factorization — decompose into prime building blocks
• Find GCF of 17388 and another number
• Find LCM of 17388 and another number
• Is 17388 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

Find all divisors of these numbers: