Properties of the Number 61689

Sixty-One Thousand Six Hundred Eighty-Nine

Basics

Value: 61688 → 61689 → 61690

Parity: odd

Prime: No

Previous Prime: 61687

Next Prime: 61703

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 20563

Divisors: 1, 3, 20563, 61689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000011111001

Octal: 170371

Duodecimal: 2B849

Hexadecimal: f0f9

Square: 3805532721

Square Root: 248.37270381424767

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 primitive (period n) n-bead necklace structures using an infinite alphabet. A276547

For any number n with runs in binary expansion (r_w, ..., r₀), let p(n) be the polynomial of a single indeterminate·where the coefficient of x^e is r_e for e = 0..w and otherwise 0, and let q be the inverse of p; a(n) = q(p(n)²). A355654

Number of weak peaks in all peakless Motzkin paths of length n. A247289

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4. A196144

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4. A196146

Array read by antidiagonals: T(n,k) is the number of color patterns (set partitions) in an oriented cycle of length n using k or fewer colors (subsets). A320747

Generalized Stirling numbers. A61689