Properties of the Number 5565

Five Thousand Five Hundred Sixty-Five

Basics

Value: 5564 → 5565 → 5566

Parity: odd

Prime: No

Previous Prime: 5563

Next Prime: 5569

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 53

Divisors: 1, 3, 5, 7, 15, 21, 35, 53, 105, 159

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110111101

Octal: 12675

Duodecimal: 3279

Hexadecimal: 15bd

Square: 30969225

Square Root: 74.59892760623305

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

Doubly triangular numbers: a(n) = n*(n+1)*(n²+n+2)/8. A2817

Number of divisors of nⁿ, or of A000312(n). A62319

a(n) = (2·n+1)*(4·n+1). A14634

Staggered diagonal of triangular spiral in A051682. A81266

a(n) = n*(n + 1)*(n² - 3·n + 5)/6. A6484

Number of subsets of {1..n} whose greatest element can be written as a (strictly) positive linear combination of the others. A365043

Tree generated by the triangular numbers: a(1) = 1; a(2n) = nontriangular(a(n)), a(2n+1) = triangular(a(n+1)), where triangular = A000217, nontriangular = A014132. A183079

Numbers which have only digits 5 and 6 in base 10. A256291

Squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p. A324315

X-toothpick sequence on Z³ lattice (see Comments for precise definition). A160170