The number 9954
9954 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 79. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474 … 9954.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9954: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9954 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 9954 itself that is 15006, so 9954 is abundant (15006 is more than 9954). Euler's totient φ(9954) = 2808 numbers up to 9954 share no factor with it.
- 4
The digits of 9954 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9954 = 2 \times 3^{2} \times 7 \times 79 \]9954 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 2808 |
| Square | 99082116 |
| Cube | 986263382664 |
| Square root | 99.769735 (= 3√1106) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.954 × |
9954 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and fifty-four |
| Binary (base 2) | 10011011100010 |
| Octal (base 8) | 23342 |
| Hexadecimal (base 16) | 26E2 |
| Base 3 | 111122200 |
| As time | 9954 seconds = 2 h 45 min 54 s |
Is 9954 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9954 ÷ 2 = 4977) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9954 ÷ 3 = 3318) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9954 ÷ 6 = 1659) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9954 ÷ 7 = 1422) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9954 ÷ 9 = 1106) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9954 a prime number?
No. 9954 = 2 × × 7 × 79, so it is divisible by 2.
What are the factors of 9954?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954.
What is 9954 in binary?
10011011100010 (hexadecimal 26E2, octal 23342).
What is the square root of 9954?
About 99.7697, exactly 3√1106.
Is 9954 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9954?
9954 is a happy number: repeatedly adding the squares of its digits reaches 1.