Properties of the Number 5158

Five Thousand One Hundred Fifty-Eight

Basics

Value: 5157 → 5158 → 5159

Parity: even

Prime: No

Previous Prime: 5153

Next Prime: 5167

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 2579

Divisors: 1, 2, 2579, 5158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000100110

Octal: 12046

Duodecimal: 2B9A

Hexadecimal: 1426

Square: 26604964

Square Root: 71.8192174839019

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

Irregular triangle read by rows: T(n,k) = ∑_i=0..k (-1)ⁱ * binomial(2·n+1,i) * binomial(k+2-i,2)ⁿ, 0 <= k <= 2*(n-1). A154283

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303242

a(n) = ∑_{k=0..floor(2·n/7)} binomial(3·k,2·n-7·k). A392436

Number of permutations of 2 indistinguishable copies of 1..n with exactly 2 adjacent element pairs in decreasing order. A151624

Semiprimes s such that φ(s)/2 is prime. A194593

Convolution square of A073592. A276551

Numbers k such that k, k² - 5, and k² + 5 are semiprime. A173085

Number of (w,x,y,z) with all terms in {1,...,n} and w²<=x·y*z. A212065

The number of permutations of length n sortable by 3 reversals. A228397

a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7. A43078