Properties of the Number 27704

Twenty-Seven Thousand Seven Hundred Four

Basics

Value: 27703 → 27704 → 27705

Parity: even

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 3463

Divisors: 1, 2, 4, 8, 3463, 6926, 13852, 27704

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000111000

Octal: 66070

Duodecimal: 14048

Hexadecimal: 6c38

Square: 767511616

Square Root: 166.44518617250546

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

Triangle T(n, k, q) = ∑_j=0..10 q^j * floor( binomial(n+1,k)*binomial(n-1,k-1)/(2^j*(n+1)) ) for q = 1, read by rows. A174043

G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - x * (1 + x + x² + x³) * A(x⁴))). A367718

Numbers n with property that n² is a sum of some 120 successive primes. A166262

Modified variant of A006645, the self-convolution of the Pell series. A178159

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,3,3,1. A222023

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 0), (1, 0, -1), (1, 0, 1)}. A150254

Number of permutations of floor(i·8/3), i=0..n-1, with all sums of 3 adjacent terms unique. A152325

a(n) is the smallest positive number k coprime to (2n+1)!! such that (2n+1)!! + k² is a square. A348635

Numbers k such that the k-th prime has an even number of 1's in its binary expansion and the (k+1)st prime has an odd number of 1's. A27704

Number of (n+2)X(3+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252947