147
CXLVII
10010011
The number 147 — factors and divisors
Deficient
147 = 3 × 7². It has 6 divisors, adding up to 228.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 7 × 21. The more divisors, the closer to a square.
- Prime factors
- 3 × 7²
- Divisors
- 1, 3, 7, 21, 49, 147
- Sum of divisors
- 228
- Sum without itself
- 81
- Coprime below it
- 84
- Digit sum
- 12
- Digital root
- 3
- Roman numeral
- CXLVII
- Binary
- 10010011
- Octal
- 223
- Hexadecimal
- 93
- Base 36
- 43
- Bits
- 8 bits
- Collatz steps
- 116 steps · peaks at 9,232
- Prime before
- 139
- Prime after
- 149
The grid
Ten per row, twenty rows. The filled cells are primes — you can see the multiples of 2 and 5 drop out in columns.
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Numbers either side
How to read this
- The prime factors are what the number is made of. The count and sum of divisors both follow from them.
- Add the divisors, take the number away, and you get perfect, abundant or deficient.
- The length of the binary form is the bit count. 255 taking eight digits is what a byte is.
- Collatz: halve it if even, triple it and add one if odd. The count is how many moves reach 1.
Frequently asked questions
Q. Is 147 a prime number?
No. It breaks down into 3 × 7².
Q. What are the divisors of 147?
1, 3, 7, 21, 49, 147 — 6 divisors in all, adding up to 228.
Q. How is 147 written in binary?
10010011, which is 8 bits. In hexadecimal it is 93.
Q. How many Collatz steps does 147 take?
It reaches 1 in 116, peaking at 9,232 on the way.