Properties of the Number 42697

Forty-Two Thousand Six Hundred Ninety-Seven

Basics

Value: 42696 → 42697 → 42698

Parity: odd

Prime: Yes

Previous Prime: 42689

Next Prime: 42701

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 42697

Divisors: 1, 42697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011011001001

Octal: 123311

Duodecimal: 20861

Hexadecimal: a6c9

Square: 1823033809

Square Root: 206.6325240614362

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426]. A78850

Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries. A160440

a(n) = ∑_{k=0..floor(n/2)} (n-2·k)^k. A352944

Primes p of Erdos-Selfridge class 4+ with largest prime factor of p+1 not of class 3+. A129472

Number of ways of having a total of n coins in your two pockets (each of them either a penny, a nickel, a dime, or a quarter), so that the amounts in the pockets are identical. A323825

a(n) is the least k>1 such that ω(k) is equal to (ω(n·k + 1) - 1)/n. A350516

Denominators of continued fraction convergents to sqrt(878). A42697