168
CLXVIII
10101000
The number 168 — factors and divisors
Abundant
168 = 2³ × 3 × 7. It has 16 divisors, adding up to 480.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 12 × 14. The more divisors, the closer to a square.
- Prime factors
- 2³ × 3 × 7
- Divisors
- 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
- Sum of divisors
- 480
- Sum without itself
- 312
- Coprime below it
- 48
- Digit sum
- 15
- Digital root
- 6
- Roman numeral
- CLXVIII
- Binary
- 10101000
- Octal
- 250
- Hexadecimal
- A8
- Base 36
- 4O
- Bits
- 8 bits
- Collatz steps
- 10 steps · peaks at 168
- Prime before
- 167
- Prime after
- 173
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 168 a prime number?
No. It breaks down into 2³ × 3 × 7.
Q. What are the divisors of 168?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 — 16 divisors in all, adding up to 480.
Q. How is 168 written in binary?
10101000, which is 8 bits. In hexadecimal it is A8.
Q. How many Collatz steps does 168 take?
It reaches 1 in 10, peaking at 168 on the way.