Properties of the Number 18782

Eighteen Thousand Seven Hundred Eighty-Two

Basics

Value: 18781 → 18782 → 18783

Parity: even

Prime: No

Previous Prime: 18773

Next Prime: 18787

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 9391

Divisors: 1, 2, 9391, 18782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100100101011110

Octal: 44536

Duodecimal: AA52

Hexadecimal: 495e

Square: 352763524

Square Root: 137.04743704279917

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

Number of triangles in the graph formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A332606

a(n) = ∑_{i=2^n-1..2ⁿ-1} sigma₀(i), sigma₀(i) number of divisors of n, n positive integer. A153876

Difference between sum of largest parts and sum of smallest parts of all partitions of n into an odd number of parts. A211870

First differences of A263096. A263097

McKay-Thompson series of class 36C for Monster. A58646

Irregular triangle read by rows: consider the structure formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of an (n+1) X 3 rectangular grid of points (or equally, an n X 2 grid of squares); row n gives number of cells with k sides, for k >= 3. A335701

Number of -n..n arrays x(0..3) of 4 elements with sum zero and with zeroth through 3rd differences all nonzero. A200040

Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241302

Number of length-n binary strings w with the property that if·is a subword of w and |x| >= 6, then·reversed is not a subword of w. A330012

Smallest k such that circle x² + y² = k passes through exactly 4n integer points. A18782