Properties of the Number 39296

Thirty-Nine Thousand Two Hundred Ninety-Six

Basics

Value: 39295 → 39296 → 39297

Parity: even

Prime: No

Previous Prime: 39293

Next Prime: 39301

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 307

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 307, 614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100110000000

Octal: 114600

Duodecimal: 1A8A8

Hexadecimal: 9980

Square: 1544175616

Square Root: 198.23218709382186

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 integer partitions of n whose run-lengths are either weakly increasing or weakly decreasing. A332745

Square array read by antidiagonals: T(m,n) = the number of tight m X n pavings (defined below). A285357

The number of tight 3 X n pavings. A285361

Number of tight m X n pavings as defined in Knuth's A285357 written as triangle T(m,n), m >= 1, 1 <= n <= m. A298362

Number of permutations of {1,...,n} avoiding adjacent step pattern up, down, up, down, down, down. A177542

Number of (n+1) X (3+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. A235949

tan(tanh(x)*arctan(x))=2/2!*x²-16/4!*x⁴+560/6!*x⁶-39296/8!*x⁸... A12679

arctanh(arctanh(x)*tan(x))=2/2!*x²+16/4!*x⁴+560/6!*x⁶+39296/8!*x⁸... A12726

Coefficients of characteristic polynomials of Hadamard Cartan F₂ self-similar 2ⁿ matrices:M={{2, -1}, {-2, 2}}. A173820

a(n) = n³ - 8. A259348