Properties of the Number 31607

Thirty-One Thousand Six Hundred Seven

Basics

Value: 31606 → 31607 → 31608

Parity: odd

Prime: Yes

Previous Prime: 31601

Next Prime: 31627

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 31607

Divisors: 1, 31607

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101101110111

Octal: 75567

Duodecimal: 1635B

Hexadecimal: 7b77

Square: 999002449

Square Root: 177.78357629432477

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 nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without 2-loops or left turns. A221828

a(n) = 2·Integral_t>=0 T_n(t/2+1) * exp(-t) * dt, n>=0, where T_n(x) is n-th Chebyshev polynomial of first kind. A300484

Largest prime <= square root of 10ⁿ. A132153

Rectangular array read by antidiagonals: a(m,n) = 2·Integral_t>=0 T_n((t+m)/2)*exp(-t)*dt, m>=0, n>=0, where T_n(x) is n-th Chebyshev polynomial of first kind. A300480

Indices of prime generalized tetranacci numbers, A073817. A104577

a(n) = ∑_k=0..n (5·k+1) * binomial(4·n+k+1,n-k)/(4·n+k+1). A390710

Expansion of ∏_k>=1 (1 + A001055(k)*x^k). A66816

p-INVERT of (0,0,0,1,2,3,5,8,...), the Fibonacci numbers preceded by three zeros, where p(S) = 1 - S - S². A289977

a(n) = floor(n^log(n)). A61567

Dispersion of (floor(2·n*sqrt(2))), by antidiagonals. A191540