Properties of the Number 35736

Thirty-Five Thousand Seven Hundred Thirty-Six

Basics

Value: 35735 → 35736 → 35737

Parity: even

Prime: No

Previous Prime: 35731

Next Prime: 35747

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1489

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1489, 2978

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101110011000

Octal: 105630

Duodecimal: 18820

Hexadecimal: 8b98

Square: 1277061696

Square Root: 189.0396783746735

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 integer partitions of n with more than one mode. A362607

Number of (n+1) X (7+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253230

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253231

Array read by antidiagonals: T(n,k) = number of double palindromes of length n using a maximum of k different symbols. A284873

Number of labeled graphs on n nodes with degree set {2,4}. A228697

Coordination sequence for 41-dimensional cubic lattice. A35736

Rolling icosahedron face footprints: number of nX6 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge. A223280