Properties of the Number 8472

Eight Thousand Four Hundred Seventy-Two

Basics

Value: 8471 → 8472 → 8473

Parity: even

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 353

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 353, 706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100011000

Octal: 20430

Duodecimal: 4AA0

Hexadecimal: 2118

Square: 71774784

Square Root: 92.04346799203081

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 π(k) divides k. A57809

Numbers k such that Bernoulli number B_k has denominator 2730. A249134

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + j·prime(j)*T(n-2, k-1) with j=3, read by rows. A153648

Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n³ + 3·n² + 8·n)/6 (n > 0). A3600

a(n) is the largest number in the set of solutions to n=x/π(x), where π(x)=A000720(x). A87235

Diagonal of triangular spiral in A051682. A81267

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2 or 4 king-move neighboring 1s. A296039

T(n,k)=Number of triangular nXnXn 0..k arrays with all row sums equal to the length of the row and all diagonal sums equal to the length of the respective diagonal. A195768

Convolution of A049612 with A011782. A55589

G.f. satisfies: A(x) = 1/(1 + x·A(x⁴)) and also the continued fraction: 1 + x·A(x⁵) = [1; 1/x, 1/x⁴, 1/x¹⁶, 1/x⁶⁴, ..., 1/x^{4^(n-1}), ...]. A101914