8192
Only up to 3999
10000000000000
The number 8192 — factors and divisors
Deficient
8,192 = 2¹³. It has 14 divisors, adding up to 16,383.
Its divisors, itself excluded, add up to less than the number.
Families it belongs to
Power of two
Two multiplied by itself. Every extra bit doubles it.
Laid out as dots
It fits as 64 × 128. The more divisors, the closer to a square.
- Prime factors
- 2¹³
- Divisors
- 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
- Sum of divisors
- 16,383
- Sum without itself
- 8,191
- Coprime below it
- 4,096
- Digit sum
- 20
- Digital root
- 2
- Roman numeral
- Only up to 3999
- Binary
- 10000000000000
- Octal
- 20000
- Hexadecimal
- 2000
- Base 36
- 6BK
- Bits
- 14 bits
- Collatz steps
- 13 steps · peaks at 8,192
- Prime before
- 8191
- Prime after
- 8209
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 8,192 a prime number?
No. It breaks down into 2¹³.
Q. What are the divisors of 8,192?
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192 — 14 divisors in all, adding up to 16,383.
Q. How is 8,192 written in binary?
10000000000000, which is 14 bits. In hexadecimal it is 2000.
Q. How many Collatz steps does 8,192 take?
It reaches 1 in 13, peaking at 8,192 on the way.