Properties of the Number 61597

Sixty-One Thousand Five Hundred Ninety-Seven

Basics

Value: 61596 → 61597 → 61598

Parity: odd

Prime: No

Previous Prime: 61583

Next Prime: 61603

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 31 × 1987

Divisors: 1, 31, 1987, 61597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111000010011101

Octal: 170235

Duodecimal: 2B791

Hexadecimal: f09d

Square: 3794190409

Square Root: 248.18742917400147

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

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array. A220916

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, -1, 0), (0, 1, -1), (1, 1, 1)}. A149591

Equals one maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nX4 array. A220915

Equals one maps: number of 4Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 4Xn array. A220919

Numbers whose sum of digits s equals its product of digits and s + 1 and s - 1 are both prime. A61597