Properties of the Number 36681

Thirty-Six Thousand Six Hundred Eighty-One

Basics

Value: 36680 → 36681 → 36682

Parity: odd

Prime: No

Previous Prime: 36677

Next Prime: 36683

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 12227

Divisors: 1, 3, 12227, 36681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000111101001001

Octal: 107511

Duodecimal: 19289

Hexadecimal: 8f49

Square: 1345495761

Square Root: 191.52284459040388

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 (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233055

Number of (1+1)X(n+1) 0..3 arrays x(i,j) with row sums sum{j·x(i,j), j=1..n+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..1+1} nondecreasing. A233056

a(1) = 1; a(n) = 1 + a(n-1) + ∑_k=2..n a(floor(n/k)). A351621

Numbers n such that 87·2ⁿ-1 is prime. A50569

T(n+2,2) with T as in A036355. A36681