Properties of the Number 83412

Eighty-Three Thousand Four Hundred Twelve

Basics

Value: 83411 → 83412 → 83413

Parity: even

Prime: No

Previous Prime: 83407

Next Prime: 83417

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 331

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100010111010100

Octal: 242724

Duodecimal: 40330

Hexadecimal: 145d4

Square: 6957561744

Square Root: 288.8113571174098

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

Triangle read by rows in which row n gives number of ways to partition n labeled elements into k pie slices allowing the pie to be turned over (n >= 1, 1 <= k <= n). A133800

Triangle read by rows, T(n, k) = Pochhammer(3, k)*Stirling2(3 + n, 3 + k) for n >= 0 and 0 <= k <= n. A294032

Numerator of Hermite(n, 21/25). A160065

Wythoff array read by rising antidiagonals. A83412

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 1, 1), (0, 0, 1), (1, 0, 0), (1, 0, 1)}. A151087

Number of nX6 binary arrays without the pattern 0 0 diagonally or vertically. A188703

Number of 6Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally. A228758

Number of 6Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se. A228801

Number of (n+1) X (3+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234685

Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234686