Properties of the Number 5792

Five Thousand Seven Hundred Ninety-Two

Basics

Value: 5791 → 5792 → 5793

Parity: even

Prime: No

Previous Prime: 5791

Next Prime: 5801

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 181

Divisors: 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010100000

Octal: 13240

Duodecimal: 3428

Hexadecimal: 16a0

Square: 33547264

Square Root: 76.10519036176179

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

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: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n into parts each of which is used a different number of times. A98859

Powers of sqrt(2) rounded down. A17910

Number of integer partitions of n whose maximal anti-runs have distinct minima. A375134

Largest term in periodic part of continued fraction expansion of square root of 2ⁿ + 1 or 0 if 2ⁿ + 1 is a square. A77624

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 2. A50061

Number of compositions of n when each odd part can be of two kinds. A52945

Integer part of square root of n⁵ = A000584(n). A155013

T(n,k)=Number of nXk 0..1 arrays with exactly n+k-2 having value 1 and no three 1s forming an isosceles right triangle. A272958

First row of A262057. A265316

a(0)=1, a(n+1) = 2·a(n) + b(n+2), where b(n)=A004539(n) is the n-th bit in the binary expansion of sqrt(2). A84188