Properties of the Number 5735

Five Thousand Seven Hundred Thirty-Five

Basics

Value: 5734 → 5735 → 5736

Parity: odd

Prime: No

Previous Prime: 5717

Next Prime: 5737

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 31 × 37

Divisors: 1, 5, 31, 37, 155, 185, 1147, 5735

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100111

Octal: 13147

Duodecimal: 339B

Hexadecimal: 1667

Square: 32890225

Square Root: 75.72978278062072

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 complete subsets of {1..n}. A326020

a(n) is the number of prime powers k such that ceiling(log₂(k)) = n. A304521

Pentagonal numbers with even index. A49452

Coordination sequence for (2,5,6) tiling of hyperbolic plane. A265065

Number of partitions of n whose median is not a part. A238479

Number of semi-sums of integer partitions of n. A366738

a(n) = Frobenius number for 4 successive primes = F[p(n), p(n+1), p(n+2), p(n+3)]. A138990

Expansion of φ(x) / f(-x) in powers of·where φ(), f() are Ramanujan θ functions. A29552

Sum of the sixth largest parts in the partitions of n into 8 squarefree parts. A326447

T(n,k)=Number of (n+2)X(k+2) binary arrays with consecutive windows of three bits considered as a binary number nondecreasing in every row and column. A202461