Properties of the Number 8138

Eight Thousand One Hundred Thirty-Eight

Basics

Value: 8137 → 8138 → 8139

Parity: even

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 × 313

Divisors: 1, 2, 13, 26, 313, 626, 4069, 8138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001010

Octal: 17712

Duodecimal: 4862

Hexadecimal: 1fca

Square: 66227044

Square Root: 90.21086409075129

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

Multiples of 13 containing a 13 in their decimal representation. A121033

Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m. A111045

Difference between upper and lower member of a pair of adjacent perfect powers A340700 and A340701, both with exponents > 2. A340706

a(n) = n*(2*(n - 2)*n + (-1)ⁿ + 3)/4. A323724

Triangular array read by rows: row n shows the coefficients of the polynomial p(x,n) constructed as in Comments; these polynomials form a strong divisibility sequence. A327322

Main diagonal of A101866. A101867

Solutions to φ(n) = φ(σ(n)) that are not given by Theorem 3 of Golomb's manuscript. A260021

Triangle of coefficients of polynomials v(n,x) jointly generated with A210603; see the Formula section. A210738

Starting from a(1)=1, a(n) is the minimum integer greater than a(n-1) such that a(n)+a(n-1), a(n)*a(n-1)+1 and a(n)*a(n-1)-1 are all primes. A228590

The least common multiple of 1+n and 1+n². A281660