Properties of the Number 5992

Five Thousand Nine Hundred Ninety-Two

Basics

Value: 5991 → 5992 → 5993

Parity: even

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 7 × 107

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 107, 214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101101000

Octal: 13550

Duodecimal: 3574

Hexadecimal: 1768

Square: 35904064

Square Root: 77.40800992145451

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

T(n,k) = number of n X k 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223838

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A231246

Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., c_m) where c1 = min_i>=1 c_i and c_j = min_i>=j c_i or c_j = max_i>=j c_i; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A344855

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with nonzero sum and with zero through n-1 differences all nonzero. A200165

T(j,k) are the numerators s in the representation R = s/t + (2·sqrt(3)/π)*u/v of the resistance between two nodes separated by the distance (j,k) in an infinite triangular lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= floor(j/2) is an irregular triangle read by rows. A355585

Expansion of 1/(4·sqrt(1-4·x) - 3). A115970

Susceptibility series H₂ for 2-dimensional Ising model (divided by 2). A54275

Non-balanced numbers in A015771. A78549

Triangle of numbers obtained from the partition array A134150. A134151

Total number of distinct numbers that can be obtained by starting with 1 and applying the "Choix de Bruxelles", version 2 (A323460) operation at most n times. A323289