Properties of the Number 47010

Forty-Seven Thousand Ten

Basics

Value: 47009 → 47010 → 47011

Parity: even

Prime: No

Previous Prime: 46997

Next Prime: 47017

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 1567

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1567, 3134

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011110100010

Octal: 133642

Duodecimal: 23256

Hexadecimal: b7a2

Square: 2209940100

Square Root: 216.817895940349

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

T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no four points are in the same row or diagonal. A194485

a(n) = n⁴ - n³ - n² - n. A152016

Expansion of ∏_k>=1 (1 + x^k*A005185(k)). A147879

Number of ways to arrange 6 indistinguishable points on an n X n X n triangular grid so that no four points are in the same row or diagonal. A194483

Array T read by diagonals: T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right and no step touches the line y=x/3 unless x=0 or x=h. A47010

Factors k > 0 such that the polynomial k·x² + 1 produces a record of its Hardy-Littlewood constant. A331945