Properties of the Number 35993

Thirty-Five Thousand Nine Hundred Ninety-Three

Basics

Value: 35992 → 35993 → 35994

Parity: odd

Prime: Yes

Previous Prime: 35983

Next Prime: 35999

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 35993

Divisors: 1, 35993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010011001

Octal: 106231

Duodecimal: 189B5

Hexadecimal: 8c99

Square: 1295496049

Square Root: 189.71821209362056

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

Primes having only {3, 5, 9} as digits. A260227

Number of partitions of n such that m(greatest part) <= m(1), where m = multiplicity. A240077

Least prime p such that 3 + 4·prime(p·n) = 5·prime(q·n) for some prime q. A260886

Sophie Germain primes for which the reversal is also a Sophie Germain prime. A118573

Primes of the form 10n² - 7. A201963

G.f. A(x) satisfies: A(x) = x + x² / exp(A(x) - A(x²)/2 + A(x³)/3 - A(x⁴)/4 + ...). A345233

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 0100-1100-0111 pattern in any orientation. A146581

Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 0100-1100-0111 pattern in any orientation. A146583

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, -1, -1), (1, 0, 0), (1, 1, -1)}. A148138

Number of partitions of n into parts not of the form 23k, 23k+5 or 23k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 10 are greater than 1. A35993