Properties of the Number 3537

Three Thousand Five Hundred Thirty-Seven

Basics

Value: 3536 → 3537 → 3538

Parity: odd

Prime: No

Previous Prime: 3533

Next Prime: 3539

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 131

Divisors: 1, 3, 9, 27, 131, 393, 1179, 3537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111010001

Octal: 6721

Duodecimal: 2069

Hexadecimal: dd1

Square: 12510369

Square Root: 59.472682804797024

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

Coordination sequence T1 for Zeolite Code LTA and ρ. A8137

12-gonal (or dodecagonal) numbers: a(n) = n*(5·n-4). A51624

Fifth spoke of a hexagonal spiral. A56109

Generalized 25-gonal (or icosipentagonal) numbers: m*(23·m - 21)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303304

Number of n-node labeled mating digraphs whose complements are connected. A79307

Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n. A66321

Expansion of g.f.: 1/∏_n>0 (1 - nⁿ * xⁿ). A23882

25-gonal numbers: a(n) = n*(23·n-21)/2. A255184

T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..k introduced in 0..k order. A244185

Number of non-condensed integer partitions of n into parts > 1. A370804