Properties of the Number 22506

Twenty-Two Thousand Five Hundred Six

Basics

Value: 22505 → 22506 → 22507

Parity: even

Prime: No

Previous Prime: 22501

Next Prime: 22511

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 11 ² × 31

Divisors: 1, 2, 3, 6, 11, 22, 31, 33, 62, 66

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011111101010

Octal: 53752

Duodecimal: 11036

Hexadecimal: 57ea

Square: 506520036

Square Root: 150.0199986668444

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 0..3 arrays of length n+2·k-1 with sum less than 3·k in any length 2k subsequence (=less than 50% duty cycle). A213464

Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reversed complement. A45664

T(n,k) is the number of lower triangles of an n X n 0..k array with all row sums equal to the length of the row and all column sums equal to the length of the column. A195644

Expansion of x/((1 - x - x⁴)*(1 - x)⁷). A145136

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the upper median and the minimum in each 2X2 subblock. A236087

The number of gaps in the set of positive integers which need at most n steps of the Collatz iteration to reach 1. A391769

Numbers k such that the sum of the Carmichael λ functions of the divisors is a proper divisor of k. A131492

a(n) = 36·n² + 6. A158479

Rectangular array: (row n) = b**c, where b(h) = h, c(h) = binomial(2·n-4+2·h,n-2+h), n>=1, h>=1, and ** = convolution. A213853

E.g.f.: A(x) = ∑_n>=0 1/n! * ∏_k=1..n -log(1 - sin(k·x)). A223897