Properties of the Number 36008

Thirty-Six Thousand Eight

Basics

Value: 36007 → 36008 → 36009

Parity: even

Prime: No

Previous Prime: 36007

Next Prime: 36011

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 × 643

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 643, 1286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010101000

Octal: 106250

Duodecimal: 18A08

Hexadecimal: 8ca8

Square: 1296576064

Square Root: 189.75774029008673

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

G.f.: ∏_m>=1 1/(1-x^m)^A018819(m). A89292

Gaps of 8 in sequence A038593 (lower terms). A38655

Inverse binomial transform of the Moebius sequence {μ(k), k >= 1}, A008683. A124839

a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units, where one trapezoid has a larger base of n units. A391453

Smallest prime that is the sum of a square and a positive cube in n different ways. A173795

The Wiener index of the nanostar dendrimer defined pictorially as G[n] in the M. H. Khalifeh et al. reference. A227486

Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1. A36008