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Properties of the Number 18393

Eighteen Thousand Three Hundred Ninety-Three

Basics

Value: 18392 → 18393 → 18394

Parity: odd

Prime: No

Previous Prime: 18379

Next Prime: 18397

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 6131

Divisors: 1, 3, 6131, 18393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011111011001

Octal: 43731

Duodecimal: A789

Hexadecimal: 47d9

Square: 338302449

Square Root: 135.62079486568422

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

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nXk array. A221446
Sum of the fourth largest parts of the partitions of n into 10 squarefree parts. A326634
Numbers whose square root in base 10 starts with 10 distinct digits. A113507
Number of strict compositions of n with alternating parts strictly decreasing. A342343
a(n) = 38·n2 + 1. A158593
G.f. A(x) satisfies: A(x) = x·exp(A(-x) + A(-x2)/2 + A(-x3)/3 + A(-x4)/4 + ...). A307365
a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-5). A107368
Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 n X n array. A221439
Hilltop maps: number of n X 4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 n X 4 array. A221442
Hilltop maps: number of 4Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 4Xn array. A221449