Properties of the Number 42967

Forty-Two Thousand Nine Hundred Sixty-Seven

Basics

Value: 42966 → 42967 → 42968

Parity: odd

Prime: Yes

Previous Prime: 42961

Next Prime: 42979

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 42967

Divisors: 1, 42967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011111010111

Octal: 123727

Duodecimal: 20A47

Hexadecimal: a7d7

Square: 1846163089

Square Root: 207.28482819540847

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

Primes p such that 8·p²-2·p-1 divides Fibonacci(p). A159231

Primes p such that both (p² + 5)/6 and (p⁴ + 5)/6 are prime. A253925

Primes prime(k) such that prime(k)² + prime(k+1)² - 1 is a perfect square. A160054

Magnetic Tower of Hanoi, number of moves of disk number k, optimally solving the [RED ; NEUTRAL ; BLUE] pre-colored puzzle. A183113

Column 0 of triangle A105542, which equals the matrix square of triangle A105540. A105543

a(n) = (11·5ⁿ - 7)/4. A117088

Centered 22-gonal primes. A276262

a(1) = 2; thereafter, a(n) is the smallest prime not yet used which is compatible with the condition that a(n) is a non-quadratic residue modulo a(k) for the next n indices k = n + 1, n + 2, ..., 2n. A249797

Primes that can be generated by the concatenation in base 6, in ascending order, of two consecutive integers read in base 10. A287306

Primes prime(k) such that prime(k)² + prime(k+1)² - 1 is the square of a prime. A359414