Properties of the Number 8156

Eight Thousand One Hundred Fifty-Six

Basics

Value: 8155 → 8156 → 8157

Parity: even

Prime: No

Previous Prime: 8147

Next Prime: 8161

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 2039

Divisors: 1, 2, 4, 2039, 4078, 8156

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111011100

Octal: 17734

Duodecimal: 4878

Hexadecimal: 1fdc

Square: 66520336

Square Root: 90.31057523900509

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

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A50027

Number of integer partitions of n such that (length) * (maximum) >= 2·n. A361906

a(n) = 2ⁿ⁺¹ - 3·n. A123203

a(n) = A129152(n) / 5⁵, where A129152 is the trajectory of 5⁶ under A003415, the arithmetic derivative. A129286

n times n+2 gives the concatenation of two numbers m and m-5. A116252

Number of partitions of [n] such that the number of blocks of size k is a multiple of k for every k. A374320

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2. A209984

Sums of (one or more distinct) k-perfect numbers. A83865

Numbers k such that the sum of the first k primes is prime and the sum of the squares of the first k primes is also prime. A124225

Concatenation of first two digits and last two digits of n-th even perfect number. A138875