The number 77372
77372 is a composite number with 18 divisors. Its prime factorisation is × 23 × . Divisors (18): 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 841, 1334, 1682, 2668, 3364, 19343 … 77372.
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How to work it out
- 1
77372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77372 is composite. Its prime factorisation is
- 3
The divisors add up to 146328; without 77372 itself that is 68956, so 77372 is deficient (68956 is less than 77372). Euler's totient φ(77372) = 35728 numbers up to 77372 share no factor with it.
- 4
The digits of 77372 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77372 = 2^{2} \times 23 \times 29^{2} \]77372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 146328 |
| Euler totient φ(n) | 35728 |
| Square | 5986426384 |
| Cube | 463181782182848 |
| Square root | 278.158228 (= 58√23) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7372 × |
77372 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and seventy-two |
| Binary (base 2) | 10010111000111100 |
| Octal (base 8) | 227074 |
| Hexadecimal (base 16) | 12E3C |
| Base 3 | 10221010122 |
| As time | 77372 seconds = 21 h 29 min 32 s |
Is 77372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77372 ÷ 2 = 38686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77372 ÷ 4 = 19343) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77372 a prime number?
No. 77372 = × 23 × , so it is divisible by 2.
What are the factors of 77372?
1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 841, 1334, 1682, 2668, 3364, 19343, 38686, 77372.
What is 77372 in binary?
10010111000111100 (hexadecimal 12E3C, octal 227074).
What is the square root of 77372?
About 278.1582, exactly 58√23.
Is 77372 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77372?
It is a composite number with 18 divisors.