Properties of the Number 8153

Eight Thousand One Hundred Fifty-Three

Basics

Value: 8152 → 8153 → 8154

Parity: odd

Prime: No

Previous Prime: 8147

Next Prime: 8161

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 31 × 263

Divisors: 1, 31, 263, 8153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111011001

Octal: 17731

Duodecimal: 4875

Hexadecimal: 1fd9

Square: 66471409

Square Root: 90.29396436085858

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) = least k such that the remainder when 11^k is divided by k is n. A127819

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24. A51965

Least k such that n^k mod k = n + 1. A128172

Triangle T(n, k, j) = T(n-1, k, j) + T(n-1, k-1, j) + (2·j + 1)*prime(j)*T(n-2, k-1, j) with T(2, k, j) = prime(j) and j = 8, read by rows. A153653

Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; a(n) is the number of distinct partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p<=A000230(n). Multiple occurrences of a partition are not counted. A79024

Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways. A64283

Expansion of 1/(1-x¹⁰-x¹¹-x¹²-x¹³-x¹⁴-x¹⁵-x¹⁶-x¹⁷-x¹⁸). A17894

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 517", based on the 5-celled von Neumann neighborhood. A288831

a(n) = n*(17·n - 1)/2. A22274

G.f. satisfies A(x) = 1 + x·A(x) + x⁴*A(x)³. A364552