Properties of the Number 42957

Forty-Two Thousand Nine Hundred Fifty-Seven

Basics

Value: 42956 → 42957 → 42958

Parity: odd

Prime: No

Previous Prime: 42953

Next Prime: 42961

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 37 × 43

Divisors: 1, 3, 9, 27, 37, 43, 111, 129, 333, 387

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011111001101

Octal: 123715

Duodecimal: 20A39

Hexadecimal: a7cd

Square: 1845303849

Square Root: 207.2607053929905

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

a(n) is the smallest k > 0 such that the first n multiples of k have the same sum of digits, but (n+1)k has a different one. a(n)=0 if no such k exists. A238088

Number of nondecreasing arrangements of n+2 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding three. A190034

a(n) = 8ⁿ - 2ⁿ. A248217

The sequence e when b=[ 1,1,1,0,1,1,... ]. A42957