Properties of the Number 8477

Eight Thousand Four Hundred Seventy-Seven

Basics

Value: 8476 → 8477 → 8478

Parity: odd

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 173

Divisors: 1, 7, 49, 173, 1211, 8477

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100011101

Octal: 20435

Duodecimal: 4AA5

Hexadecimal: 211d

Square: 71859529

Square Root: 92.07062506576133

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 > 1 such that, in base 4, k and k² contain the same digits in the same proportion. A61658

Trace of Vandermonde matrix of numbers 1,2,...,n, i.e., the matrix A with A[i,j] = i^j-1, 1 <= i <= n, 1 <= j <= n. A60946

Numbers n such that n!8 + 2 is prime. A204663

a(n) = (n + 1)*(20·n² + 19·n + 6)/6. A220084

Sum of the second largest parts in the partitions of n into 6 parts. A308872

G.f. satisfies A(x) = 1 + x·A(x)³ + x³*A(x). A367057

Triangle read by rows: The n-th row is constructed by forming the partial sums of the previous row, reading from the right and if n is a triangular number repeating the final term. A99964

Triangle defined by g.f.: A(x,y) = exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n, k)ⁿ * y^k ), as read by rows. A209424

Define g(k) = min(n: n >= 0, 2ⁿ + k prime). Then a(n) = min(odd k: g(k) = n). A260350

Partial sums of A001935; at one time this was conjectured to agree with A007478. A14605