Properties of the Number 79353

Seventy-Nine Thousand Three Hundred Fifty-Three

Basics

Value: 79352 → 79353 → 79354

Parity: odd

Prime: No

Previous Prime: 79349

Next Prime: 79357

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 2939

Divisors: 1, 3, 9, 27, 2939, 8817, 26451, 79353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010111111001

Octal: 232771

Duodecimal: 39B09

Hexadecimal: 135f9

Square: 6296898609

Square Root: 281.69664534743754

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)=Number of nXk 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. A207235

Number of nX3 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. A207230

Number of nX4 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. A207231

a(n) = a(n-2)+a(n-3)+a(n-4)+a(n-5)+a(n-6)+2·a(n-7)+a(n-8). A109540

Numbers n such that the best rational approximation to H(n) with denominator <=n is an integer, where H(n) denotes the n-th harmonic number (A001008/A002805). A79353

E.g.f. C(x) satisfies: C(x)² + 2·S(x)² = 1 such that S'(x) = C(x)² - S(x)*C(x) and C'(x) = 2·S(x)² - 2·S(x)*C(x), where S(x) is described by A279842. A279841

E.g.f. S(x) satisfies: C(x)² + 2·S(x)² = 1 such that S'(x) = C(x)² - S(x)*C(x) and C'(x) = 2·S(x)² - 2·S(x)*C(x), where C(x) is described by A279841. A279842