Numbers·140
140
CXL
10001100

The number 140 — factors and divisors

Abundant

140 = 2² × 5 × 7. It has 12 divisors, adding up to 336.

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

Laid out as dots

It fits as 10 × 14. The more divisors, the closer to a square.

Prime factors
2² × 5 × 7
Divisors
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Sum of divisors
336
Sum without itself
196
Coprime below it
48
Digit sum
5
Digital root
5
Roman numeral
CXL
Binary
10001100
Octal
214
Hexadecimal
8C
Base 36
3W
Bits
8 bits
Collatz steps
15 steps · peaks at 160
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.

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 140 a prime number?

No. It breaks down into 2² × 5 × 7.

Q. What are the divisors of 140?

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 — 12 divisors in all, adding up to 336.

Q. How is 140 written in binary?

10001100, which is 8 bits. In hexadecimal it is 8C.

Q. How many Collatz steps does 140 take?

It reaches 1 in 15, peaking at 160 on the way.