The number 72149
72149 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 937. Divisors (8): 1, 7, 11, 77, 937, 6559, 10307, 72149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72149 is composite. Its prime factorisation is
- 3
The divisors add up to 90048; without 72149 itself that is 17899, so 72149 is deficient (17899 is less than 72149). Euler's totient φ(72149) = 56160 numbers up to 72149 share no factor with it.
- 4
The digits of 72149 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72149 = 7 \times 11 \times 937 \]
72149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90048 |
| Euler totient φ(n) | 56160 |
| Square | 5205478201 |
| Cube | 375570046723949 |
| Square root | 268.605659 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2149 × |
72149 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and forty-nine |
| Binary (base 2) | 10001100111010101 |
| Octal (base 8) | 214725 |
| Hexadecimal (base 16) | 119D5 |
| Base 3 | 10122222012 |
| As time | 72149 seconds = 20 h 2 min 29 s |
Is 72149 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72149 ÷ 7 = 10307) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72149 ÷ 11 = 6559) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72149 a prime number?
No. 72149 = 7 × 11 × 937, so it is divisible by 7.
What are the factors of 72149?
1, 7, 11, 77, 937, 6559, 10307, 72149.
What is 72149 in binary?
10001100111010101 (hexadecimal 119D5, octal 214725).
What is the square root of 72149?
About 268.6057.
Is 72149 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72149?
It is a composite number with 8 divisors.