Properties of the Number 42677

Forty-Two Thousand Six Hundred Seventy-Seven

Basics

Value: 42676 → 42677 → 42678

Parity: odd

Prime: Yes

Previous Prime: 42667

Next Prime: 42683

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 42677

Divisors: 1, 42677

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011010110101

Octal: 123265

Duodecimal: 20845

Hexadecimal: a6b5

Square: 1821326329

Square Root: 206.5841233008965

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..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252352

a(n) = A085956(3n+1). A86362

Primes q such that p = (r+q+s-1)/2 is a balanced prime, where r, q, s are consecutive primes. A129190

Primes p such that none of p-2, p-1, p+1, and p+2 is squarefree. A153215

Expansion of η(q)/η(q⁵)⁵ in powers of q. A109063

Numerator of best rational approximation x/y of log(k), y<=k, with k>1 given by A306975. The corresponding denominators are given in A306977. A306976

Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17. A241048

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252345

Expansion of ∏_k>=1 (1-x^k)*(1+x^k)⁴. A261998

Primes p such that p + 6, p + 12, p + 20, p + 26 and p + 32 are also primes. A384769