Properties of the Number 42773

Forty-Two Thousand Seven Hundred Seventy-Three

Basics

Value: 42772 → 42773 → 42774

Parity: odd

Prime: Yes

Previous Prime: 42767

Next Prime: 42787

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 42773

Divisors: 1, 42773

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011100010101

Octal: 123425

Duodecimal: 20905

Hexadecimal: a715

Square: 1829529529

Square Root: 206.81634364817495

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

Number of multisets summing to n that do not contain 1 and are not the first sums of any multiset. A390431

Smallest of three consecutive primes in arithmetic progression with common difference 24 and digit sum prime. A253140

a(n) = p(n²*p(n)), where p(x) is the least prime > x. A378137

Primes p such that p-1 is a partial sum of A014574. A343711

Primes that are the sum of all composite numbers in-between prime numbers p(n) and p(n+2). A174521

Primes of the form (24·p + 1)/5, where p is a Fermat pseudoprime to base 2. A218010

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 389", based on the 5-celled von Neumann neighborhood. A271596

Number of positive integers <= 2ⁿ of the form x² + 5·y². A54150

The simple continued fraction expansion of F(x) := ∏_{n >= 0} (1 - x^4·n+3)/(1 - x^4·n+1) when x = 1/2*(3 - sqrt(5)). A221364

Denominators of continued fraction convergents to sqrt(917). A42773