122
CXXII
1111010
The number 122 — factors and divisors
Deficient
122 = 2 × 61. It has 4 divisors, adding up to 186.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 2 × 61. The more divisors, the closer to a square.
- Prime factors
- 2 × 61
- Divisors
- 1, 2, 61, 122
- Sum of divisors
- 186
- Sum without itself
- 64
- Coprime below it
- 60
- Digit sum
- 5
- Digital root
- 5
- Roman numeral
- CXXII
- Binary
- 1111010
- Octal
- 172
- Hexadecimal
- 7A
- Base 36
- 3E
- Bits
- 7 bits
- Collatz steps
- 20 steps · peaks at 184
- Prime before
- 113
- Prime after
- 127
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 122 a prime number?
No. It breaks down into 2 × 61.
Q. What are the divisors of 122?
1, 2, 61, 122 — 4 divisors in all, adding up to 186.
Q. How is 122 written in binary?
1111010, which is 7 bits. In hexadecimal it is 7A.
Q. How many Collatz steps does 122 take?
It reaches 1 in 20, peaking at 184 on the way.