Properties of the Number 8139

Eight Thousand One Hundred Thirty-Nine

Basics

Value: 8138 → 8139 → 8140

Parity: odd

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2713

Divisors: 1, 3, 2713, 8139

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001011

Octal: 17713

Duodecimal: 4863

Hexadecimal: 1fcb

Square: 66243321

Square Root: 90.21640649017229

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 whose multiplicities have integer median. A360687

Numbers n such that nextprime(n³)-prevprime(n³) = 4. A90121

Number of partitions p of n including round(mean(p)) as a part. (This is "Mathematica round"). A241338

a(1) = 1; a(n) = ∑_k=1..n-1 a(floor((n-1)/k)). A78346

The 300-degree spoke (or ray) of a hexagonal spiral of Ulam. A244804

G.f. satisfies A(x) = 1 + x*(1 + x·A(x)⁶)³. A137969

Numbers k such that (k³ - 2, k³ + 2) is a pair of cousin primes (see A178227). A178228

Number of Fermat pseudoprimes to bases 2 and 3 less than 10ⁿ. A114246

Minimal nonnegative integer that cannot be represented as the sum of an m-gonal and a k-gonal number for any k,m less than n. A176874

Expansion of (1-x)/(1-2·x-x²-2·x³). A77996