Properties of the Number 51749

Fifty-One Thousand Seven Hundred Forty-Nine

Basics

Value: 51748 → 51749 → 51750

Parity: odd

Prime: Yes

Previous Prime: 51721

Next Prime: 51767

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 51749

Divisors: 1, 51749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101000100101

Octal: 145045

Duodecimal: 25B45

Hexadecimal: ca25

Square: 2677959001

Square Root: 227.48406537601704

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

Least prime beginning a string, of length at least n, of consecutive primes which alternate between types 4·k+1 and 4·k+3 or 4·k+3 and 4·k+1. A289118

Minimal natural number (in decimal representation) with n prime substrings in base-3 representation (substrings with leading zeros are considered to be nonprime). A217303

Find the first (maximal) string of consecutive primes of length exactly n which alternate between 4·k+1 and 4·k+3 or 4·k+3 and 4·k+1 as in A002144(4·n+1) and A002145(4·n+3). The first element is a(n). A247384

a(1) = 2; k(1) = 0; for n > 1: k(n) = smallest number j >= k(n-1) such that 2·a(n-1) + j is prime; a(n) = 2·a(n-1) + k(n). A105120

Primes p such that p² + 6, p² + 12 and p² + 18 are all prime. A173627

Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s. A297297

Primes of the form n + sum of proper non-divisors of n. A192560

a(n) is the least prime > a(n-2) such that a(n-1)+a(n) is a square. A359582

Consecutive states of the linear congruential pseudo-random number generator (1597·s + 51749) mod 244944 when started at s=1. A385359

Sum of the prime(n) primes following prime(n). A99274