Properties of the Number 42214

Forty-Two Thousand Two Hundred Fourteen

Basics

Value: 42213 → 42214 → 42215

Parity: even

Prime: No

Previous Prime: 42209

Next Prime: 42221

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 21107

Divisors: 1, 2, 21107, 42214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010011100110

Octal: 122346

Duodecimal: 2051A

Hexadecimal: a4e6

Square: 1782021796

Square Root: 205.46045848289154

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+1)X(k+1) 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing. A204800

a(n) = 2·a(n-1) + a(n-2) - a(n-3), where a(0) = 2, a(1) = 3, a(2) = 6. A286062

Numerators of continued fraction convergents to sqrt(704). A42354

Number of (n+1)X4 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing. A204795

Number of (n+1)X5 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing. A204796

Number of (n+4) X 10 0..2 matrices with each 5 X 5 subblock idempotent. A224623

Number of (n+4) X 11 0..2 matrices with each 5 X 5 subblock idempotent. A224624

Expansion of 1/(2 + x - theta₂(sqrt(x))/(2·x^1/8)), where theta₂() is the Jacobi θ function. A303908

Expansion of (1-x)^-1/(1-3·x-2·x²-3·x³). A77823

T(n,k)=Number of (n+4)X(k+4) 0..2 matrices with each 5X5 subblock idempotent. A224625