Properties of the Number 36084

Thirty-Six Thousand Eighty-Four

Basics

Value: 36083 → 36084 → 36085

Parity: even

Prime: No

Previous Prime: 36083

Next Prime: 36097

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 31 × 97

Divisors: 1, 2, 3, 4, 6, 12, 31, 62, 93, 97

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110011110100

Octal: 106364

Duodecimal: 18A70

Hexadecimal: 8cf4

Square: 1302055056

Square Root: 189.9578900704048

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

Number of functional patterns on n elements; or digraphs with maximum outdegree 1, n arrows and every point connected to an arrow. A116950

Numbers k such that σ(k) = ψ(k) + φ(k) + ω(k)⁵. A391908

Numbers k such that (prime(j)-1)² + 1 is prime for k <= j <= k + 2. A376522

a(n) = sigma₃(n) - sigma₂(n). A92349

Expansion of (1+4·x+8·x²-x³)/((1-x)*(1+x)*(1-3·x²)). A224785

Maximal sum of x0 + x0·x1 + ... + x0·x1*...*xk over all compositions x0 + ... + xk = n. A239288

a(2)=5; thereafter a(n) = smallest number m such that a(n-1)+m = (a(n-1) followed by the leading digit of m). A224756

Expansion of 1/(1-6·x)⁶. A36084