Divisors of 40401: All 9 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 40401

The number 40401 has 9 divisors:

1,  3,  9,  67,  201,  603,  4489,  13467,  40401

Divisor Pairs of 40401

Each pair multiplies to 40401:

Note: the last pair has identical factors (201 × 201) because 40401 is a perfect square.

Number of Divisors

The number 40401 has 9 divisors, written as τ(40401) = 9 in number theory.

⚡ Notice: 40401 has an odd number of divisors — this means 40401 is a perfect square (√40401 = 201).

Sum of Divisors

σ(40401) = 1 + 3 + 9 + 67 + 201 + 603 + 4489 + 13467 + 40401 = 59241

Prime Factorization of 40401

See the full prime factorization calculator →

Properties of 40401

• 40401 is composite.
• 40401 is a perfect square (√40401 = 201).
• Number of divisors: 9.
• Sum of divisors: 59241.

Common Divisors with Another Number?

Looking for the divisors that 40401 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 40401

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √40401 ≈ 201.00. If i divides 40401, then both i and 40401/i are divisors.

1. 1 divides 40401 (40401 ÷ 1 = 40401) → pair (1, 40401)
2. 3 divides 40401 (40401 ÷ 3 = 13467) → pair (3, 13467)
3. 9 divides 40401 (40401 ÷ 9 = 4489) → pair (9, 4489)
4. 67 divides 40401 (40401 ÷ 67 = 603) → pair (67, 603)
5. 201 divides 40401 (40401 ÷ 201 = 201) → pair (201, 201)
6. Collect all unique values: {1, 3, 9, 67, 201, 603, 4489, 13467, 40401} — total 9 divisors.
7. Sum: 1 + 3 + 9 + 67 + 201 + 603 + 4489 + 13467 + 40401 = 59241.

Nearby Examples

Related Operations for 40401

• Multiples of a Number — "outward" complement of divisors
• 40401 Prime Factorization — decompose into prime building blocks
• Find GCF of 40401 and another number
• Find LCM of 40401 and another number
• Is 40401 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

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