Properties of the Number 51243

Fifty-One Thousand Two Hundred Forty-Three

Basics

Value: 51242 → 51243 → 51244

Parity: odd

Prime: No

Previous Prime: 51241

Next Prime: 51257

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 29 × 31

Divisors: 1, 3, 19, 29, 31, 57, 87, 93, 551, 589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100000101011

Octal: 144053

Duodecimal: 257A3

Hexadecimal: c82b

Square: 2625845049

Square Root: 226.36916751183233

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

Smallest c which can be split into positive integers a,b with a+b=c, such that a·b*c is divisible by each of the first n primes. A346970

Number of compositions of n which are prime when concatenated and read as a decimal string. A116381

Number of permutations in S_n avoiding {bar 5}1243 (i.e., every occurrence of 1243 is contained in an occurrence of a 51243). A137547

a(n) = (7·11ⁿ-1)/2. A199025

a(n) = 2ⁿ - A210109(n). A210145

Numbers k such that φ(k) = φ'(k'), where φ(k) is the Euler totient function of k and k' is the arithmetic derivative of k. A260962

Number of permutations in S_n avoiding 5{bar 1}{bar 2}43 (i.e., every occurrence of 543 is contained in an occurrence of a 51243). A137549

Integers m with k digits (for some k) that lie in an interval of k integers and the digits of m are the total number of distinct prime factors of all the integers in that interval. A348187

Number of permutations of [n] whose lengths of increasing runs are triangular numbers. A317130

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=max(0,n-3), read by rows. A231384