Properties of the Number 20472

Twenty Thousand Four Hundred Seventy-Two

Basics

Value: 20471 → 20472 → 20473

Parity: even

Prime: No

Previous Prime: 20443

Next Prime: 20477

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 853

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 853, 1706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111111111000

Octal: 47770

Duodecimal: BA20

Hexadecimal: 4ff8

Square: 419102784

Square Root: 143.08039698015938

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

Expansion of ∏_k>0 ((1-x^5k-2) * (1-x^5k-3)/((1-x^5k-1) * (1-x^5k-4)))⁴ in powers of x. A285444

Expansion of (1-x+8x²)/((1-x)(1-2x)) . A154252

Number of asymmetric rooted trees with a forbidden limb of length 3. A52325

Number T(n,k) of reduced decompositions for all permutations of [n] with exactly k inversions; triangle T(n,k), n>=0, 0<=k<=n*(n-1)/2, read by rows. A289778

Total number of binary digits in the partitions of n into odd parts. A319142

Expansion of e.g.f. cos(sin(x)*exp(x)). A9048

Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A306168

Numbers k such that 403·2^k+1 is prime. A323101

a(n) = ∑_k=0..n r₄(k² + 1), where r₄(k) is the number of ways of writing k as a sum of 4 squares (A000118). A333174

Number of n X n arrays of squares of integers, symmetric about main diagonal, with all rows summing to 58. A156517