The number 77496
77496 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3229. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3229, 6458, 9687, 12916, 19374, 25832, 38748, 77496.
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How to work it out
- 1
77496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77496 is composite. Its prime factorisation is
- 3
The divisors add up to 193800; without 77496 itself that is 116304, so 77496 is abundant (116304 is more than 77496). Euler's totient φ(77496) = 25824 numbers up to 77496 share no factor with it.
- 4
The digits of 77496 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77496 = 2^{3} \times 3 \times 3229 \]77496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 193800 |
| Euler totient φ(n) | 25824 |
| Square | 6005630016 |
| Cube | 465412303719936 |
| Square root | 278.381034 (= 2√19374) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7496 × |
77496 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and ninety-six |
| Binary (base 2) | 10010111010111000 |
| Octal (base 8) | 227270 |
| Hexadecimal (base 16) | 12EB8 |
| Base 3 | 10221022020 |
| As time | 77496 seconds = 21 h 31 min 36 s |
Is 77496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77496 ÷ 2 = 38748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77496 ÷ 3 = 25832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77496 ÷ 4 = 19374) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77496 ÷ 6 = 12916) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (77496 ÷ 8 = 9687) | 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 6) | 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 | Yes (77496 ÷ 12 = 6458) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77496 a prime number?
No. 77496 = × 3 × 3229, so it is divisible by 2.
What are the factors of 77496?
1, 2, 3, 4, 6, 8, 12, 24, 3229, 6458, 9687, 12916, 19374, 25832, 38748, 77496.
What is 77496 in binary?
10010111010111000 (hexadecimal 12EB8, octal 227270).
What is the square root of 77496?
About 278.3810, exactly 2√19374.
Is 77496 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77496?
It is a composite number with 16 divisors.