The number 72502
72502 is a composite number with 4 divisors. Its prime factorisation is 2 × 36251. Divisors (4): 1, 2, 36251, 72502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72502: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36251, the product of two primes.
- 2
72502 is composite. Its prime factorisation is
- 3
The divisors add up to 108756; without 72502 itself that is 36254, so 72502 is deficient (36254 is less than 72502). Euler's totient φ(72502) = 36250 numbers up to 72502 share no factor with it.
- 4
The digits of 72502 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72502 = 2 \times 36251 \]
72502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 108756 |
| Euler totient φ(n) | 36250 |
| Square | 5256540004 |
| Cube | 381109663370008 |
| Square root | 269.261954 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2502 × |
72502 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand five hundred and two |
| Binary (base 2) | 10001101100110110 |
| Octal (base 8) | 215466 |
| Hexadecimal (base 16) | 11B36 |
| Base 3 | 10200110021 |
| As time | 72502 seconds = 20 h 8 min 22 s |
Is 72502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72502 ÷ 2 = 36251) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72502 a prime number?
No. 72502 = 2 × 36251, so it is divisible by 2.
What are the factors of 72502?
1, 2, 36251, 72502.
What is 72502 in binary?
10001101100110110 (hexadecimal 11B36, octal 215466).
What is the square root of 72502?
About 269.2620.
Is 72502 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72502?
72502 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36251, the product of two primes.