Properties of the Number 47970

Forty-Seven Thousand Nine Hundred Seventy

Basics

Value: 47969 → 47970 → 47971

Parity: even

Prime: No

Previous Prime: 47969

Next Prime: 47977

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 13 × 41

Divisors: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101101100010

Octal: 135542

Duodecimal: 23916

Hexadecimal: bb62

Square: 2301120900

Square Root: 219.02054698132775

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) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3. A22863

Number of (w,x,y) with all terms in {0,...,n} and x ≠ max(|w-x|,|x-y|). A213496

Values of Newton-Gregory forward interpolating polynomial (1/3)*(2·n - 3)*(2·n² - 3·n + 4). A30441

Degrees of irreducible representations of orthogonal group O8-(3). A214474

Number of (6+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258559

Number of nX6 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing. A266545

Antidiagonal sums of nexus numbers (A047969). A47970

T(n,k)=Number of nXk binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing. A266547

G.f. satisfies: A(x) = (1+x·A(x)³)*(1+x²*A(x)²)*(1+x³*A(x)). A211855