Properties of the Number 39928

Thirty-Nine Thousand Nine Hundred Twenty-Eight

Basics

Value: 39927 → 39928 → 39929

Parity: even

Prime: No

Previous Prime: 39901

Next Prime: 39929

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 23 × 31

Divisors: 1, 2, 4, 7, 8, 14, 23, 28, 31, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101111111000

Octal: 115770

Duodecimal: 1B134

Hexadecimal: 9bf8

Square: 1594245184

Square Root: 199.81991892701788

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+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order. A206659

-2-Knödel numbers. A225506

Number of regular tetrahedra in an n-node-per-edge tetrahedral grid. A269747

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

Dirichlet g.f.: (ζ(s-3) / ζ(s))². A338165

Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order. A206653

Number of (n+2)X6 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order. A206655

Members of a pair (m,n) such that σ(m) = σ(n) = σ(n-m), m < n where σ = A000203. A239939

Number of partitions of n that contain at least one odd prime as a part. A355193

Sum of first n terms of A_n (using absolute values of terms). A39928