The number 61004
61004 is a composite number with 12 divisors. Its prime factorisation is × 101 × 151. Divisors (12): 1, 2, 4, 101, 151, 202, 302, 404, 604, 15251, 30502, 61004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61004 is composite. Its prime factorisation is
- 3
The divisors add up to 108528; without 61004 itself that is 47524, so 61004 is deficient (47524 is less than 61004). Euler's totient φ(61004) = 30000 numbers up to 61004 share no factor with it.
- 4
The digits of 61004 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61004 = 2^{2} \times 101 \times 151 \]61004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 108528 |
| Euler totient φ(n) | 30000 |
| Square | 3721488016 |
| Cube | 227025654928064 |
| Square root | 246.989878 (= 2√15251) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1004 × |
61004 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and four |
| Binary (base 2) | 1110111001001100 |
| Octal (base 8) | 167114 |
| Hexadecimal (base 16) | EE4C |
| Base 3 | 10002200102 |
| As time | 61004 seconds = 16 h 56 min 44 s |
Is 61004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61004 ÷ 2 = 30502) | 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 (61004 ÷ 4 = 15251) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 61004 a prime number?
No. 61004 = × 101 × 151, so it is divisible by 2.
What are the factors of 61004?
1, 2, 4, 101, 151, 202, 302, 404, 604, 15251, 30502, 61004.
What is 61004 in binary?
1110111001001100 (hexadecimal EE4C, octal 167114).
What is the square root of 61004?
About 246.9899, exactly 2√15251.
Is 61004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 61004?
It is a composite number with 12 divisors.