Properties of the Number 37168

Thirty-Seven Thousand One Hundred Sixty-Eight

Basics

Value: 37167 → 37168 → 37169

Parity: even

Prime: No

Previous Prime: 37159

Next Prime: 37171

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 23 × 101

Divisors: 1, 2, 4, 8, 16, 23, 46, 92, 101, 184

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100110000

Octal: 110460

Duodecimal: 19614

Hexadecimal: 9130

Square: 1381460224

Square Root: 192.79004123657424

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

Expansion of 4th power of continued fraction 1/ ( 1+q/ ( 1+q²/ ( 1+q³/ ( 1+q⁴/... )))). A55103

Triangle T(n,k) = ∑_j=0..k Stirling1(n, n-j)*binomial(n,j) + ∑_j=0..n-k Stirling1(n, n-j)*binomial(n,j), read by rows. A176154

Expansion of 1/(theta₃(q) * theta₃(q²)), where theta₃() is the Jacobi θ function. A320069

Number of nX4 0..1 arrays with every element unequal to 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317859

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317863

a(n) = 2·prime(n) - 2. A37168

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A299341