Properties of the Number 36825

Thirty-Six Thousand Eight Hundred Twenty-Five

Basics

Value: 36824 → 36825 → 36826

Parity: odd

Prime: No

Previous Prime: 36821

Next Prime: 36833

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 491

Divisors: 1, 3, 5, 15, 25, 75, 491, 1473, 2455, 7365

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000111111011001

Octal: 107731

Duodecimal: 19389

Hexadecimal: 8fd9

Square: 1356080625

Square Root: 191.89841062395487

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..2 arrays with every 2X2 subblock summing to 2 3 4 5 or 6. A251390

a(n) = (1/7) * ∑_k=0..n-1 binomial(7·n,7·k+1). A387748

a(n) = ∑_{i+j+k=n, i,j,k >= 1} τ(i)*τ(j)*τ(k), where τ() = A000005(). A191829

Number of partitions of n whose greatest part is a multiple of 4. A363046

sech(sec(x)*arcsinh(x))=1-1/2!*x²-3/4!*x⁴-45/6!*x⁶+2457/8!*x⁸... A12833

Number of (n+1) X (1+1) 0..2 arrays with every 2 X 2 subblock summing to 2 3 4 5 or 6. A251383

Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock summing to 2 3 4 5 or 6. A251386

Sum of balls on the lawn for the s=3 tennis ball problem. A49235

Number of nX4 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order. A240652

Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference. A250929