Properties of the Number 35986

Thirty-Five Thousand Nine Hundred Eighty-Six

Basics

Value: 35985 → 35986 → 35987

Parity: even

Prime: No

Previous Prime: 35983

Next Prime: 35993

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 19 × 947

Divisors: 1, 2, 19, 38, 947, 1894, 17993, 35986

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010010010

Octal: 106222

Duodecimal: 189AA

Hexadecimal: 8c92

Square: 1294992196

Square Root: 189.6997627831938

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

a(1) = 0, a(2) = 1, and for n > 2, a(n) = 2·a(A252463(n)) + [n == 1 (mod 2)]*[J(3∣n) == 1], where J is the Jacobi-symbol. A292253

Expansion of e.g.f. ∏_k>=1 1/(1 - log(1/(1 - x))^k). A320349

G.f. satisfies A(x) = 1 + x·A(x) / (1 - x⁵*A(x)³). A365735

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 931", based on the 5-celled von Neumann neighborhood. A273790

Areas of primitive Pythagorean triangles which are palindromes. A101439

Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically. A207568

Number of partitions of n into parts not of the form 21k, 21k+8 or 21k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 9 are greater than 1. A35986