Properties of the Number 97880

Ninety-Seven Thousand Eight Hundred Eighty

Basics

Value: 97879 → 97880 → 97881

Parity: even

Prime: No

Previous Prime: 97879

Next Prime: 97883

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 5 × 2447

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 2447, 4894

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001011000

Octal: 277130

Duodecimal: 48788

Hexadecimal: 17e58

Square: 9580494400

Square Root: 312.8577951721836

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

Coordination sequence for 10-dimensional cubic lattice. A8420

Number of points of L1 norm 6 in cubic lattice Zⁿ. A35600

T(n,k) is the coordination number of the (n+1)-dimensional cubic lattice for radius k; triangle read by rows, n>=0, 0<=k<=n. A343599

Coordination sequence for C₁₀ lattice. A35747

Monotonic ordering of set S generated by these rules: if·and y are in S then 3xy-x-y is in S, and 2 is in S. A192529

Number of (w,x,y,z) with all terms in {1,...,n} and min{|w-x|,|w-y|}=min{|x-y|,|x-z|}. A212579

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251916

G.f. A(x) satisfies: A(x) = x + x² / exp(A(x) - A(x²)/2 + A(x³)/3 - A(x⁴)/4 + ...). A345233

Array of coordination sequences for cubic lattices (rows) and of numbers of L1 forms in cubic lattices (columns) (array read by antidiagonals). A119800

Square array A(n,k) read by antidiagonals: row n gives coordination sequence for lattice C_n. A103884