Properties of the Number 20084

Twenty Thousand Eighty-Four

Basics

Value: 20083 → 20084 → 20085

Parity: even

Prime: No

Previous Prime: 20071

Next Prime: 20089

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5021

Divisors: 1, 2, 4, 5021, 10042, 20084

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111001110100

Octal: 47164

Duodecimal: B758

Hexadecimal: 4e74

Square: 403367056

Square Root: 141.718029904455

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

Sum of the largest parts of the partitions of n into 8 squarefree parts. A326452

Numerator of 4·H(n,4,3), a generalized harmonic number. A74637

Indices of records in A307730. A348449

Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and determinant >= 3n. A211153

Expansion of 1/(1-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰-x¹¹-x¹²-x¹³-x¹⁴). A17836

a(n+5) = a(n+4)+a(n+3)+a(n+2)+a(n+1)+2·a(n) with a(0)=2, a(1)=1, a(2)=5, a(3)=10, a(4)=20. A226311

Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253503

a(n) = floor( γ(n + 2/5)/γ(2/5) ). A20084

Tetrahedron T(m,n,k) in which the slice k is a finite triangle read by rows T(m, n). T(m,n,k) is the smallest v such that for every red-green-blue edge-coloring of the graph K_v there exists either a red m-cycle, a green n-cycle or a blue k-cycle; Ramsey number r(C_m, C_n, C_k). A389334