Number analysis
176
176 is a composite even number that factors as 2^4 × 11.
176 is a composite even number that factors as 2^4 × 11.
The number itself
- Value
- 176
- Digits
- 3
- Digit sum
- 14
- Reversed
- 671
- Palindrome
- No
1 + 7 + 6
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 671.
Parity and primality
- Parity
- Even
- Prime
- No
- Prime factorisation
- 2^4 × 11
- Squarefree
- No
- Möbius μ(n)
- 0
- Nearest primes
- 173 ← → 179
Divisible by 2.
Composite — it factors as 2^4 × 11.
2 distinct prime factors, 5 with multiplicity.
At least one prime appears squared.
Zero, because a squared prime divides n.
A gap of 6 between them.
Divisors
- Aliquot sum
- 196
- Classification
- Abundant
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The proper divisors — everything except n itself.
Its proper divisors overshoot by 20.
How many integers from 1 to n share no factor with n.
Sums and additive structure
- Sum of two squares
- No
- Sum of three squares
- Yes
- Sum of four squares
- Yes
- Goldbach pair
- 3 + 173
A prime congruent to 3 mod 4 divides it an odd number of times, which rules it out.
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
- Pentagonal number
- Yes — the 11th
Digit curiosities
- Happy number
- Yes
- Harshad number
- No
- Collatz trajectory
- 18 steps to 1
Repeatedly summing the squares of its digits reaches 1.
Not divisible by its digit sum 14.
Peaks at 176 along the way.
Written other ways
- Binary
- 10110000
- Octal
- 260
- Hexadecimal
- B0
- Base 36
- 4W
- Roman numerals
- CLXXVI
- In words
- one hundred and seventy-six
- Scientific notation
- 1.76 × 10^2
Is 176 a prime number?
Composite — it factors as 2^4 × 11.
Nearby numbers
Other numeral systems
Beyond the bases and Roman numerals above, these notations write 176 their own way.
- Morse code
- · − − − − − − · · · − · · · ·
- Devanagari
- १७६
- Tamil
- ௱௭௰௬
- Thai
- ๑๗๖
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.