Properties of the Number 83688

Eighty-Three Thousand Six Hundred Eighty-Eight

Basics

Value: 83687 → 83688 → 83689

Parity: even

Prime: No

Previous Prime: 83663

Next Prime: 83689

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 317

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011011101000

Octal: 243350

Duodecimal: 40520

Hexadecimal: 146e8

Square: 7003681344

Square Root: 289.2887830525062

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)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant. A185467

Expansion of ∏_{m >= 1} (1-m·q^m)¹¹. A22671

McKay-Thompson series of class 21D for Monster. A58566

McKay-Thompson series of class 21D for the Monster group with a(0) = 2. A226015

Number of (n+1) X 4 binary arrays with no 2 X 2 subblock determinant equal to any horizontal or vertical neighbor 2 X 2 subblock determinant. A185461

Number of (n+1)X8 binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant. A185465

Denominator of B(2n)*H(2n)/n where B(k) is the k-th Bernoulli number and H(k) the k-th harmonic number. A83688