Number analysis
196
196 is a composite even number that factors as 2^2 × 7^2.
196 is a composite even number that factors as 2^2 × 7^2.
The number itself
- Value
- 196
- Digits
- 3
- Digit sum
- 16
- Reversed
- 691
- Palindrome
- No
1 + 9 + 6
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 691.
Parity and primality
- Parity
- Even
- Prime
- No
- Prime factorisation
- 2^2 × 7^2
- Squarefree
- No
- Powerful
- Yes
- Möbius μ(n)
- 0
- Nearest primes
- 193 ← → 197
Divisible by 2.
Composite — it factors as 2^2 × 7^2.
2 distinct prime factors, 4 with multiplicity.
At least one prime appears squared.
Every prime factor appears at least squared.
Zero, because a squared prime divides n.
A gap of 4 between them.
Divisors
- Aliquot sum
- 203
- Classification
- Abundant
1, 2, 4, 7, 14, 28, 49, 98, 196
The proper divisors — everything except n itself.
Its proper divisors overshoot by 7.
How many integers from 1 to n share no factor with n.
Sums and additive structure
- Sum of two squares
- Yes
- Sum of three squares
- Yes
- Sum of four squares
- Yes
- Goldbach pair
- 3 + 193
0² + 14² = 196
Legendre's three-square theorem allows it.
Lagrange's four-square theorem: every non-negative integer is, without exception.
The smallest pair of primes summing to n. Goldbach’s conjecture says one always exists; it remains unproven.
Shapes and sequences
- Square number
- Yes — the 14th
Digit curiosities
- Happy number
- No
- Harshad number
- No
- Collatz trajectory
- 26 steps to 1
Summing the squares of its digits falls into the 4 → 16 → 37 → … → 4 cycle.
Not divisible by its digit sum 16.
Peaks at 196 along the way.
Written other ways
- Binary
- 11000100
- Octal
- 304
- Hexadecimal
- C4
- Base 36
- 5G
- Roman numerals
- CXCVI
- In words
- one hundred and ninety-six
- Scientific notation
- 1.96 × 10^2
Is 196 a prime number?
Composite — it factors as 2^2 × 7^2.
Nearby numbers
Other numeral systems
Beyond the bases and Roman numerals above, these notations write 196 their own way.
- Morse code
- · − − − − − − − − · − · · · ·
- Devanagari
- १९६
- Tamil
- ௱௯௰௬
- Thai
- ๑๙๖
References
Further reading: Wikipedia · Wikidata
Notations, naming and the links above come from Wikidata, whose structured data is dedicated to the public domain under CC0-1.0. Retrieved 2026-10-07.