Properties of the Number 19776

Nineteen Thousand Seven Hundred Seventy-Six

Basics

Value: 19775 → 19776 → 19777

Parity: even

Prime: No

Previous Prime: 19763

Next Prime: 19777

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 103

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110101000000

Octal: 46500

Duodecimal: B540

Hexadecimal: 4d40

Square: 391090176

Square Root: 140.62716664997558

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..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. A283857

Number of irreducible alternating Euler sums of depth 6 and weight 6+2n. A11796

Irregular triangle read by rows: T(n,k) (n >= 1, k >= n+1) is the number of cells with k vertices in the dissection of an n-dimensional cube by all the hyperplanes that pass through any n vertices. A333543

Sum of all the parts in the partitions of n into 5 squarefree parts. A308839

Number of ways to choose n positive integers less than or equal to 2n such that none of the n integers divides another. A174094

a(n) = (1/(5·n)) * ∑_d∣n μ(n/d) * binomial(5·d,d). A346579

Ulam's spiral (SSW spoke). A143838

a(n) = 4·a(n-1) + 4·a(n-2) for n > 1; a(0) = 1, a(1) = 8. A164545

Number of configurations of the 3-dimensional 3 X 3 X 3 sliding cube puzzle that require a minimum of n moves to be reached, starting with the empty space in the center of the combination cube. A90574

Number of permutations in symmetric group S_n with an even number of cycles of length 2 or more. A373339