Number analysis
4,096
4,096 is a composite even number that factors as 2^12.
4,096 is a composite even number that factors as 2^12.
The number itself
- Value
- 4,096
- Digits
- 4
- Digit sum
- 19
- Reversed
- 6,904
- Palindrome
- No
4 + 0 + 9 + 6
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 6,904.
Parity and primality
- Parity
- Even
- Prime
- No
- Prime factorisation
- 2^12
- Squarefree
- No
- Prime power
- 2^12
- Powerful
- Yes
- Möbius μ(n)
- 0
- Nearest primes
- 4,093 ← → 4,099
Divisible by 2.
Composite — it factors as 2^12.
1 distinct prime factor, 12 with multiplicity.
At least one prime appears squared.
A single prime raised to a power.
Every prime factor appears at least squared.
Zero, because a squared prime divides n.
A gap of 6 between them.
Divisors
- Sum of divisors σ(n)
- 8,191
- Aliquot sum
- 4,095
- Classification
- Deficient
- Euler totient φ(n)
- 2,048
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1,024, 2,048, 4,096
The proper divisors — everything except n itself.
Its proper divisors fall short by 1.
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
- Sum of two cubes
- 0³ + 16³
- Goldbach pair
- 3 + 4,093
0² + 64² = 4,096
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 64th
- Perfect cube
- Yes — 16³
- Power of two
- Yes — 2^12
Digit curiosities
- Happy number
- Yes
- Harshad number
- No
- Collatz trajectory
- 12 steps to 1
Repeatedly summing the squares of its digits reaches 1.
Not divisible by its digit sum 19.
Peaks at 4,096 along the way.
Written other ways
- Binary
- 1000000000000
- Octal
- 10000
- Hexadecimal
- 1000
- Base 36
- 35S
- In words
- four thousand and ninety-six
- Scientific notation
- 4.096 × 10^3
Standard Roman numerals only run from 1 to 3,999.
Is 4,096 a prime number?
Composite — it factors as 2^12.