Properties of the Number 83214

Eighty-Three Thousand Two Hundred Fourteen

Basics

Value: 83213 → 83214 → 83215

Parity: even

Prime: No

Previous Prime: 83207

Next Prime: 83219

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 23 × 67

Divisors: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100010100001110

Octal: 242416

Duodecimal: 401A6

Hexadecimal: 1450e

Square: 6924569796

Square Root: 288.46836914989484

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

Irregular triangular array, read by rows: row n shows the coefficients of the polynomial p(n,x) defined in Comments. A329430

Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically. A253395

Number of simply-typed normal forms of λ-terms of size n. A294451

Numbers k for which 3 | p(k), where p(k) = A000041(k) is the k-th partition number. A83214

Number of n-digit integers that are divisible by all their digits. A346267

Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207686

Number of defective 3-colorings of an n X 6 0..2 array connected horizontally and vertically with exactly two mistakes, and colors introduced in row-major 0..2 order. A229604