Properties of the Number 42767

Forty-Two Thousand Seven Hundred Sixty-Seven

Basics

Value: 42766 → 42767 → 42768

Parity: odd

Prime: Yes

Previous Prime: 42751

Next Prime: 42773

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 42767

Divisors: 1, 42767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011100001111

Octal: 123417

Duodecimal: 208BB

Hexadecimal: a70f

Square: 1829016289

Square Root: 206.80183751601436

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

Class 7- primes. A81426

Expansion of (x² + 254·x - 7)/(x³ - 99·x² + 99·x - 1). A269555

Primes of the form 16·k-1 such that 4·k-1 and 8·k-1 are also primes. A101793

Primes p such that A001175(p) = 2*(p+1)/9. A308786

a(n) = n⁶ - (883/60)*n⁵ + (157/3)*n⁴ + (2155/12)*n³ - (4570/3)*n² + (42767/15)*n - 967. A28295

Primes p such that (p²+2)/3 and (p⁴+2)/3 are prime. A256811

Numbers m such that Conv(b,m) = b has a unique nontrivial solution (b = 0 and b = 1 are considered trivial solutions). Here, Conv(b,m) denotes the limit of b^^t (mod m) as t goes to infinity. A347561

Primes p from A031924 such that A052180(primepi(p)) = 19. A52235

Denominators of continued fraction convergents to sqrt(914). A42767