Properties of the Number 36617

Thirty-Six Thousand Six Hundred Seventeen

Basics

Value: 36616 → 36617 → 36618

Parity: odd

Prime: No

Previous Prime: 36607

Next Prime: 36629

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 5231

Divisors: 1, 7, 5231, 36617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100001001

Octal: 107411

Duodecimal: 19235

Hexadecimal: 8f09

Square: 1340804689

Square Root: 191.35568975078843

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 integer partitions of n with reverse-alternating sum < 0. A344608

Number of integer partitions of 2n with reverse-alternating sum < 0. A344743

Number of unlabeled trees on n nodes with maximum degree three and three vertices of degree three. A355024

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (0, 1, 1), (1, 0, -1), (1, 1, 0)}. A150542

Number of steps required to reach zero in the wrecker ball sequence starting with n: On the k-th step (k = 1, 2, 3, ...) move a distance of k in the direction of zero. If the result has occurred before, move a distance of k away from zero instead. Set a(n) = -1 if 0 is never reached. A228474

Concatenations of cyclic permutations of initial positive integers. A1292

Integers of the form (Lucas(i+1) - 2·A006206(i+2))/(A006206(i+2) - A006206(i)), i > 2; Lucas = A000204. A113910

Number of 5-ary rooted trees with n nodes and height at most 6. A36617