Properties of the Number 4096

Four Thousand Ninety-Six

Basics

Value: 4095 → 4096 → 4097

Parity: even

Prime: No

Previous Prime: 4093

Next Prime: 4099

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ¹²

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000000000

Octal: 10000

Duodecimal: 2454

Hexadecimal: 1000

Square: 16777216

Square Root: 64

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Powers of 2: a(n) = 2ⁿ. A79

The cubes: a(n) = n³. A578

Coefficients of expansion of (1-x)/(1-2·x) in powers of x. A11782

Powers of 4: a(n) = 4ⁿ. A302

Fourth powers: a(n) = n⁴. A583

Unary-encoded compressed factorization of natural numbers. A156552

Self-inverse permutation of the positive integers induced by partition enumeration in A112798 and partition conjugation. A122111

If n = p_i^e_i * ... * p_k^e_k, p_i < ... < p_k primes (with p_i = prime(i)), then a(n) = (1/2) * (e_i * 2ⁱ + ... + e_k * 2^k). A48675

Smallest number with exactly n divisors. A5179

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475