Properties of the Number 35836

Thirty-Five Thousand Eight Hundred Thirty-Six

Basics

Value: 35835 → 35836 → 35837

Parity: even

Prime: No

Previous Prime: 35831

Next Prime: 35837

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 17 ² × 31

Divisors: 1, 2, 4, 17, 31, 34, 62, 68, 124, 289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000101111111100

Octal: 105774

Duodecimal: 188A4

Hexadecimal: 8bfc

Square: 1284218896

Square Root: 189.30398833622075

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

T(n,k)=Number of binary arrays of length n+2·k-1 with fewer than k ones in any length 2k subsequence (=less than 50% duty cycle). A213118

G.f. A(x) satisfies: A(x) = exp( ∑_k>=1 (-1)^k+1 * A(x^k)⁵ * x^k / k ). A52798

Number of binary arrays of length n+13 with fewer than 7 ones in any length 14 subsequence (=less than 50% duty cycle). A213117

Number of binary arrays of length 2·n+3 with fewer than n ones in any length 2n subsequence (=less than 50% duty cycle). A213121

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 185", based on the 5-celled von Neumann neighborhood. A270636

a(n) = 4·n*(n² - 3·n - 1)/3. A275876

Numbers n such that 83·2ⁿ-1 is prime. A50567

Duplicate of A008395. A35836