Properties of the Number 5622

Five Thousand Six Hundred Twenty-Two

Basics

Value: 5621 → 5622 → 5623

Parity: even

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 937

Divisors: 1, 2, 3, 6, 937, 1874, 2811, 5622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111110110

Octal: 12766

Duodecimal: 3306

Hexadecimal: 15f6

Square: 31606884

Square Root: 74.97999733262199

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

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3). A24312

Triangle T(n,k), read by rows, given by [0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, ...] δ [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] where δ is the operator defined in A084938. A111146

Number of partitions of n containing a clique of size 8. A183565

a(n) is the sum of all divisors of the first n positive even numbers. A326124

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns. A221937

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237511

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7. A252130

Binomial transform of [1, 11, 11, 11, ...]. A139635

Number of order-preserving or order-reversing full contraction mappings of an n-chain. A221882

Expansion of ∑_k>0 x^3·k/(1-x^k)⁴. A363607