Numbers·139
139
CXXXIX
10001011

The number 139 — factors and divisors

Deficient

139 is a prime: only 1 and itself divide it. The prime before is 137, the next is 149.

Its divisors, itself excluded, add up to less than the number.

Families it belongs to

Prime

Nothing divides it but 1 and itself.

Laid out as dots

It only fits in one row. Having no other rectangle is what being prime means.

Prime factors
It does not break down further
Divisors
1, 139
Sum of divisors
140
Sum without itself
1
Coprime below it
138
Digit sum
13
Digital root
4
Roman numeral
CXXXIX
Binary
10001011
Octal
213
Hexadecimal
8B
Base 36
3V
Bits
8 bits
Collatz steps
41 steps · peaks at 628
Prime before
137
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.

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 139 a prime number?

Yes. Nothing divides it but 1 and itself.

Q. What are the divisors of 139?

1, 139 — 2 divisors in all, adding up to 140.

Q. How is 139 written in binary?

10001011, which is 8 bits. In hexadecimal it is 8B.

Q. How many Collatz steps does 139 take?

It reaches 1 in 41, peaking at 628 on the way.