Properties of the Number 39968

Thirty-Nine Thousand Nine Hundred Sixty-Eight

Basics

Value: 39967 → 39968 → 39969

Parity: even

Prime: No

Previous Prime: 39953

Next Prime: 39971

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 1249

Divisors: 1, 2, 4, 8, 16, 32, 1249, 2498, 4996, 9992

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000100000

Octal: 116040

Duodecimal: 1B168

Hexadecimal: 9c20

Square: 1597441024

Square Root: 199.9199839935968

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 partitions of 2·n with no part divisible by 3 and all odd parts occurring with even multiplicities. A98151

Triangle Q, read by rows, where column k of Q equals column 0 of Q^k+1 and Q is equal to the matrix square of integer triangle P = A135880 such that column 0 of Q equals column 0 of P shift left. A135885

Expansion of φ(q³) / φ(q) in powers of q where φ() is a Ramanujan θ function. A132002

Number of factorization patterns of polynomials of degree n over F₂. A6167

Triangle, read by rows, equal to P⁶, where triangle P = A135880; also equals Q³ where Q = P² = A135885. A135893

Triangle, read by rows equal to the matrix product P·R^-1·P, where P = A135880 and R = A135894; P·R^-1·P equals triangle Q=A135885 shifted down one row. A135899

Column 2 of triangle Q = A135885; also equals column 0 of Q³ = A135893. A135887

Partial sums of A294629. A294630

Numbers k such that abs(prime(k)-k*τ(k)) < sqrt(k). A68543

Triangle P, read by rows, where column k of P² equals column 0 of P^2k+2 such that column 0 of P² equals column 0 of P shift one place left, with P(0,0)=1. A135880