Properties of the Number 42211

Forty-Two Thousand Two Hundred Eleven

Basics

Value: 42210 → 42211 → 42212

Parity: odd

Prime: No

Previous Prime: 42209

Next Prime: 42221

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 13 × 17 × 191

Divisors: 1, 13, 17, 191, 221, 2483, 3247, 42211

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010011100011

Octal: 122343

Duodecimal: 20517

Hexadecimal: a4e3

Square: 1781768521

Square Root: 205.45315767833796

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

a(n) = n*(2·n² + 5·n + 1)/2. A162254

Numbers k = p·q*r (p, q, r prime) congruent to 0 mod p+q+r. A160394

Odd squarefree composite numbers k, divisible by the sum of their prime factors, sopfr (A001414). A308643

n written efficiently in natural numbers base, i.e., in form ...wxyz where n = 1·z + 2·y + 3·x + 4·w + ... with z <= 1, y < 2, x < 3, w < 4, ... A55611

Concatenation of multiplicities of prime divisors of highly composite numbers A002182(n). A245500

a(1) = 1 and thereafter a(n) = a(n-1) + j(n-1) where j(1) = 1 and then j(n) = j(n-1)-1 if a(n) is composite or j(n) = 2·j(n-1) if a(n) is prime. A382671

G.f.: 1/(1 + x/(1 + 2·x²/(1 + 3·x³/(1 + 4·x⁴/(1 + 5·x⁵/(1 + 6·x⁶/(1 + ... ))))))), a continued fraction. A285409

Number of partitions of n into even parts. A35363

a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

Number of partitions of n whose mean is a part. A237984