Properties of the Number 47760

Forty-Seven Thousand Seven Hundred Sixty

Basics

Value: 47759 → 47760 → 47761

Parity: even

Prime: No

Previous Prime: 47743

Next Prime: 47777

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 199

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101010010000

Octal: 135220

Duodecimal: 23780

Hexadecimal: ba90

Square: 2281017600

Square Root: 218.54061407436376

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

Numbers k such that 11·k² + 4 is a square. A75844

Triangle read by rows: T(n,k) is the number of 2-compositions of n having k even entries (0<=k<=n). A181297

Numbers equidistant from twin prime pairs that are also equidistant from numbers equidistant from twin prime pairs. A260517

Triangle read by rows giving certain self-avoiding walk data for the face-centered cubic lattice. A260018

Number of (undirected) Hamiltonian paths in the n-triangular graph. A308142

Number of dissectable polyhedra with n tetrahedral cells and symmetry of type F. A47760

Numbers m such that if x = σ(m)-φ(m)-τ(m)-m then m = σ(x)-φ(x)-τ(x)-x. A238230

Irregular triangle read by rows: T(n,k), n>=1, k>=1, in which column k lists the numbers of A353689 multiplied by A000330(k), and the first element of column k is in row A000217(k). A353690

Number of n X n arrays of squares of integers summing to 9. A159375

Square array, read by descending antidiagonals, where each row n comprises the integers w >= 1 such that A000037(n)*w²+4 is a square. A378908