The number 72402
72402 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1097. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1097, 2194, 3291, 6582, 12067, 24134, 36201, 72402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72402 is composite. Its prime factorisation is
- 3
The divisors add up to 158112; without 72402 itself that is 85710, so 72402 is abundant (85710 is more than 72402). Euler's totient φ(72402) = 21920 numbers up to 72402 share no factor with it.
- 4
The digits of 72402 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72402 = 2 \times 3 \times 11 \times 1097 \]
72402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 158112 |
| Euler totient φ(n) | 21920 |
| Square | 5242049604 |
| Cube | 379534875428808 |
| Square root | 269.076197 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2402 × |
72402 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and two |
| Binary (base 2) | 10001101011010010 |
| Octal (base 8) | 215322 |
| Hexadecimal (base 16) | 11AD2 |
| Base 3 | 10200022120 |
| As time | 72402 seconds = 20 h 6 min 42 s |
Is 72402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72402 ÷ 2 = 36201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72402 ÷ 3 = 24134) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72402 ÷ 6 = 12067) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72402 ÷ 11 = 6582) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72402 a prime number?
No. 72402 = 2 × 3 × 11 × 1097, so it is divisible by 2.
What are the factors of 72402?
1, 2, 3, 6, 11, 22, 33, 66, 1097, 2194, 3291, 6582, 12067, 24134, 36201, 72402.
What is 72402 in binary?
10001101011010010 (hexadecimal 11AD2, octal 215322).
What is the square root of 72402?
About 269.0762.
Is 72402 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72402?
It is a composite number with 16 divisors.