Properties of the Number 45897

Forty-Five Thousand Eight Hundred Ninety-Seven

Basics

Value: 45896 → 45897 → 45898

Parity: odd

Prime: No

Previous Prime: 45893

Next Prime: 45943

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 15299

Divisors: 1, 3, 15299, 45897

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001101001001

Octal: 131511

Duodecimal: 22689

Hexadecimal: b349

Square: 2106534609

Square Root: 214.23585134145966

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 nX6 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302875

Number of 6 X n 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302881

Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305485

Number of n X n 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302871

a(n) is the smallest integer k such that the Diophantine equation x³ + y³ + z³ = k³ has exactly n positive primitive integer solutions. A391773

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302877

Has both a primitive and imprimitive representation as x² + xy + y². A45897