Properties of the Number 20834

Twenty Thousand Eight Hundred Thirty-Four

Basics

Value: 20833 → 20834 → 20835

Parity: even

Prime: No

Previous Prime: 20809

Next Prime: 20849

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 11 × 947

Divisors: 1, 2, 11, 22, 947, 1894, 10417, 20834

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000101100010

Octal: 50542

Duodecimal: 10082

Hexadecimal: 5162

Square: 434055556

Square Root: 144.33987668000827

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 idempotent n X n matrices over GF(2); also number of diagonalizable n X n matrices over GF(2). A132186

Relative of Hofstadter Q-sequence: a(n) = max(0, n+20830) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283887

Sum of first n terms divides the concatenation of the first n terms. A166064

a(n) = ∑_i=1..n ∑_j=1..i (prime(i)² - prime(j)²). A62021

Number of paraffins. A5998

Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors unequal to itself. A195959

Triangular array read by rows. T(n,k) is the number of n X n matrices over GF(2) such that the sum of the dimensions of their eigenspaces taken over all eigenvalues is k, 0 <= k <= n, n >= 0. A346201

Duplicate of A132186. A86907

Triangular array read by rows. T(n,k) is the number of n X n matrices over GF(2) that can be decomposed as the direct sum of k cyclic matrices, 0<=k<=n, n>=0. A346677

Decimal expansion of 1/sqrt(77). A20834