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Properties of the Number 15978

Fifteen Thousand Nine Hundred Seventy-Eight

Basics

Value: 15977 → 15978 → 15979

Parity: even

Prime: No

Previous Prime: 15973

Next Prime: 15991

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2663

Divisors: 1, 2, 3, 6, 2663, 5326, 7989, 15978

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111001101010

Octal: 37152

Duodecimal: 92B6

Hexadecimal: 3e6a

Square: 255296484

Square Root: 126.40411385710514

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

a(n) is the ratio of the sum of the squares of the bends of the spheres that are added in the n-th generation of Apollonian packing of three-dimensional spheres, using "strategy (b)" to count them (see the reference), to the sum of the squares of the bends of the initial five mutually tangent spheres. A154645
a(n) is the number of distinct solution sets to the quadratic equations u·x2 + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant. A379597
Number of (non-null) connected induced subgraphs in the n-flower graph. A362807
a(n) = 841·n - 1. A158402
a(n) = 2floor((n-1/2)) - n*(n-1)/2. A163417
a(n) = floor(n(n-1)(n-2)(n-3)/19). A11929
Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 462", based on the 5-celled von Neumann neighborhood. A272311
Essential dimension of the spin group Spinn over an algebraically closed field of characteristic different from 2. A280191
Inverse of 1969th cyclotomic polynomial. A15978
Number of (n+2)X(4+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 or 4. A252028