Properties of the Number 36613

Thirty-Six Thousand Six Hundred Thirteen

Basics

Value: 36612 → 36613 → 36614

Parity: odd

Prime: No

Previous Prime: 36607

Next Prime: 36629

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 19 × 41 × 47

Divisors: 1, 19, 41, 47, 779, 893, 1927, 36613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100000101

Octal: 107405

Duodecimal: 19231

Hexadecimal: 8f05

Square: 1340511769

Square Root: 191.34523772490394

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

Number of vertices in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row. A369176

McKay-Thompson series of class 45b for Monster. A58686

McKay-Thompson series of class 30F for the Monster group with a(0) = 1. A205977

Triangle read by rows: the numerators of the Lucas triangle. A385732

McKay-Thompson series of class 30F for Monster. A58617

Numerators of the partial sums of 1/d(prime(k)+1), where d is the number of divisors function. A386921

Numbers k such that (14·10^k - 131)/9 is prime. A294914

Numbers m such that σ(m) = τ(m)! where σ(k) = A000203(k) and τ(k) = A000005(k). A351866

Number of 4-ary rooted trees with n nodes and height at most 8. A36613