Properties of the Number 36031

Thirty-Six Thousand Thirty-One

Basics

Value: 36030 → 36031 → 36032

Parity: odd

Prime: No

Previous Prime: 36017

Next Prime: 36037

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 137 × 263

Divisors: 1, 137, 263, 36031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010111111

Octal: 106277

Duodecimal: 18A27

Hexadecimal: 8cbf

Square: 1298232961

Square Root: 189.8183342040489

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 T(n,k) of partitions of [n] having exactly k parity changes within the partition, n>=0, 0<=k<=max(0,n-1), read by rows. A363519

Number of solutions to x² + y² + z² + w² <= n², where x, y, z, w are positive odd integers. A349611

Terms k of A002977 such that both (k-1)/2 and (k-1)/3 are also terms of A002977. A85249

Numerators of continued fraction convergents to sqrt(950). A42838

Number of set partitions of [5n] into 5-element subsets {i, i+k, i+2k, i+3k, i+4k} with 1<=k<=n. A349430

a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=7. A22312

Number of partitions of n into parts not of form 4k+2, 24k, 24k+5 or 24k-5. Also number of partitions in which no odd part is repeated, with at most 2 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even. A36031