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Properties of the Number 18742

Eighteen Thousand Seven Hundred Forty-Two

Basics

Value: 18741 → 18742 → 18743

Parity: even

Prime: No

Previous Prime: 18731

Next Prime: 18743

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 9371

Divisors: 1, 2, 9371, 18742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100100100110110

Octal: 44466

Duodecimal: AA1A

Hexadecimal: 4936

Square: 351262564

Square Root: 136.90142438996023

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

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)-6. A114358
Numbers n such that h(n) = 3 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.) A78420
The number of decimal digits in the Lucas-Lehmer number A003010(n). A177874
Number of sets of exactly seven positive integers <= n having a square element sum. A281867
Indices of primes in the Padovan sequence A000931. A152870
The number of decimal digits in Lucas-Lehmer numbers A003010(k-2) divisible by 2k-1. A177875
Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252672
Numbers k such that k!6 + 9 is prime, where k!6 is the sextuple factorial number (A085158 ). A288154
Number of (binary) bit strings of length n having an even length block of 0's followed by an odd length block of 1's. A65506
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679