Properties of the Number 47089

Forty-Seven Thousand Eighty-Nine

Basics

Value: 47088 → 47089 → 47090

Parity: odd

Prime: No

Previous Prime: 47087

Next Prime: 47093

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 ² × 31 ²

Divisors: 1, 7, 31, 49, 217, 961, 1519, 6727, 47089

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011111110001

Octal: 133761

Duodecimal: 23301

Hexadecimal: b7f1

Square: 2217373921

Square Root: 217

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) = (6·n + 1)². A16922

Sum of legs of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. A89552

Triangle of coefficients T(n,k) of xⁿ*y^k in g.f. A(x,y) satisfying y = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y·A(x,y) + x^n-1)ⁿ⁺¹. A359670

Determinant of n X n matrix defined by m(i,j)=1 if i+j is a prime, m(i,j)=0 otherwise. A69191

a(n) = (11·n + 8)². A17486

Least square n-gonal number greater than 1, or 0 if none exists. A100252

Cyclops squares: squares (A000290) that are also cyclops numbers (A134808). A160711

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically. A207426

a(n) = (8·n + 1)². A17078

a(n) = (9·n + 1)². A17174