Properties of the Number 37617

Thirty-Seven Thousand Six Hundred Seventeen

Basics

Value: 37616 → 37617 → 37618

Parity: odd

Prime: No

Previous Prime: 37607

Next Prime: 37619

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 12539

Divisors: 1, 3, 12539, 37617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001011110001

Octal: 111361

Duodecimal: 19929

Hexadecimal: 92f1

Square: 1415038689

Square Root: 193.9510247459394

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 T(n,k) read by rows: coefficient [x^n-k] of the characteristic polynomial of the n X n matrix A(r,c)=1 (if c > r) and A(r,c)=c (if c <= r). A158359

Number of convergent binary relations on [n] (A365534) that converge to a quasi-order relation (A000798). A366252

Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 9 ones in any 5 X 5 X 5 subtriangle. A153969

Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,3,2. A37617

a(n) = ∑_{i+j+k=n, 0<=j<=i<=n, 0<=k<=n} (n+k)!/(i! * j! * (2·k)!). A92465