196
CXCVI
11000100
The number 196 — factors and divisors
Abundant
196 = 2² × 7². It has 9 divisors, adding up to 399.
Its divisors, itself excluded, add up to more than the number.
Families it belongs to
Square
A number times itself — the dots lay out as a square.
Laid out as dots
It fits as 14 × 14. The more divisors, the closer to a square.
- Prime factors
- 2² × 7²
- Divisors
- 1, 2, 4, 7, 14, 28, 49, 98, 196
- Sum of divisors
- 399
- Sum without itself
- 203
- Coprime below it
- 84
- Digit sum
- 16
- Digital root
- 7
- Roman numeral
- CXCVI
- Binary
- 11000100
- Octal
- 304
- Hexadecimal
- C4
- Base 36
- 5G
- Bits
- 8 bits
- Collatz steps
- 26 steps · peaks at 196
- Prime before
- 193
- Prime after
- 197
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 196 a prime number?
No. It breaks down into 2² × 7².
Q. What are the divisors of 196?
1, 2, 4, 7, 14, 28, 49, 98, 196 — 9 divisors in all, adding up to 399.
Q. How is 196 written in binary?
11000100, which is 8 bits. In hexadecimal it is C4.
Q. How many Collatz steps does 196 take?
It reaches 1 in 26, peaking at 196 on the way.