Properties of the Number 22509

Twenty-Two Thousand Five Hundred Nine

Basics

Value: 22508 → 22509 → 22510

Parity: odd

Prime: No

Previous Prime: 22501

Next Prime: 22511

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 41 × 61

Divisors: 1, 3, 9, 41, 61, 123, 183, 369, 549, 2501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011111101101

Octal: 53755

Duodecimal: 11039

Hexadecimal: 57ed

Square: 506655081

Square Root: 150.02999700059985

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 compositions of 7·n into parts 6 and 7. A373912

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208420

a(n) = ∑_{k=0..floor(n/3)} binomial(k,2·n-6·k). A391399

Position where n (presumably) appears the last time in A107261, or 0 if n keeps appearing. A107262

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208418

Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208421

a(n) = ∑_{k=0..floor(n/2)} binomial(k+1,3·n-6·k+1). A392673

Describe previous term from the right (method A - initial term is 5). A22509

Length of all-prime chain of prime(n) + successive even triangular numbers. A114383