Properties of the Number 15791

Fifteen Thousand Seven Hundred Ninety-One

Basics

Value: 15790 → 15791 → 15792

Parity: odd

Prime: Yes

Previous Prime: 15787

Next Prime: 15797

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 15791

Divisors: 1, 15791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110110101111

Octal: 36657

Duodecimal: 917B

Hexadecimal: 3daf

Square: 249355681

Square Root: 125.66224572241258

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

First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2). A54800

Initial prime in set of 4 consecutive primes with common difference 6. A33451

Primes p such that p, p+6, p+12, p+18 are all primes. A23271

T(n,k) = number of (n·k) X k binary arrays with rows in nonincreasing order and n ones in every column. A188392

Smallest prime having least positive primitive root n, or 0 if no such prime exists. A23048

Numbers whose least quadratic nonresidue (A020649) is 23. A25028

Primes p such that p, p+6, p+12, p+18 are consecutive primes and p=6·k+5 for some k. A90834

T(n,k)=Number of nXk 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing. A223933

Primes p such that p^k is zeroless for k=0,...,5. A253645

Strings of 5 digits from 1...9, such that no formula using the single digits in the given order exists that evaluates to 0. A288355