1024
MXXIV
10000000000
The number 1024 — factors and divisors
Deficient
1,024 = 2¹⁰. It has 11 divisors, adding up to 2,047.
Its divisors, itself excluded, add up to less than the number.
Families it belongs to
Square
A number times itself — the dots lay out as a square.
Power of two
Two multiplied by itself. Every extra bit doubles it.
Laid out as dots
It fits as 32 × 32. The more divisors, the closer to a square.
- Prime factors
- 2¹⁰
- Divisors
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
- Sum of divisors
- 2,047
- Sum without itself
- 1,023
- Coprime below it
- 512
- Digit sum
- 7
- Digital root
- 7
- Roman numeral
- MXXIV
- Binary
- 10000000000
- Octal
- 2000
- Hexadecimal
- 400
- Base 36
- SG
- Bits
- 11 bits
- Collatz steps
- 10 steps · peaks at 1,024
- Prime before
- 1021
- Prime after
- 1031
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 1,024 a prime number?
No. It breaks down into 2¹⁰.
Q. What are the divisors of 1,024?
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 — 11 divisors in all, adding up to 2,047.
Q. How is 1,024 written in binary?
10000000000, which is 11 bits. In hexadecimal it is 400.
Q. How many Collatz steps does 1,024 take?
It reaches 1 in 10, peaking at 1,024 on the way.