Number analysis
34
34 is a composite even number that factors as 2 × 17.
34 is a composite even number that factors as 2 × 17.
The number itself
- Value
- 34
- Digits
- 2
- Digit sum
- 7
- Reversed
- 43
- Palindrome
- No
3 + 4
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 43.
Parity and primality
- Parity
- Even
- Prime
- No
- Prime factorisation
- 2 × 17
- Squarefree
- Yes
- Semiprime
- Yes
- Möbius μ(n)
- 1
- Nearest primes
- 31 ← → 37
Divisible by 2.
Composite — it factors as 2 × 17.
2 distinct prime factors, 2 with multiplicity.
No prime divides it twice.
A product of exactly two primes, counted with multiplicity.
(−1) to the power of 2 distinct prime factors.
A gap of 6 between them.
Divisors
- Aliquot sum
- 20
- Classification
- Deficient
1, 2, 17, 34
The proper divisors — everything except n itself.
Its proper divisors fall short by 14.
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 + 31
3² + 5² = 34
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
- Fibonacci number
- Yes — index 9
Digit curiosities
- Happy number
- No
- Harshad number
- No
- Collatz trajectory
- 13 steps to 1
Summing the squares of its digits falls into the 4 → 16 → 37 → … → 4 cycle.
Not divisible by its digit sum 7.
Peaks at 52 along the way.
Written other ways
- Binary
- 100010
- Octal
- 42
- Hexadecimal
- 22
- Base 36
- Y
- Roman numerals
- XXXIV
- In words
- thirty-four
- Scientific notation
- 3.4 × 10^1
Is 34 a prime number?
Composite — it factors as 2 × 17.
Nearby numbers
Other numeral systems
Beyond the bases and Roman numerals above, these notations write 34 their own way.
- Greek (alphabetic)
- ΛΔʹ
- Babylonian cuneiform
- 𒌍𒐘
- Tamil
- ௩௰௪
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.