Properties of the Number 8491

Eight Thousand Four Hundred Ninety-One

Basics

Value: 8490 → 8491 → 8492

Parity: odd

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 1213

Divisors: 1, 7, 1213, 8491

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100101011

Octal: 20453

Duodecimal: 4AB7

Hexadecimal: 212b

Square: 72097081

Square Root: 92.14662229295223

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

Number T(n,k) of multisets of exactly k nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A293808

Smallest value of·such that M(x) = n, where M() is Mertens's function A002321. A51400

Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime. A69833

Number of 9-almost primes less than or equal to 10ⁿ. A120050

a(n) = 1·2 + 3 + 4·5 + 6 + 7·8 + 9 + 10·11 + 12 + ... + (up to n). A305189

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∏_j=1..n (1+x^j) - 1). A294250

Number of partitions of n with exactly four part sizes. A365630

Coefficients of the C-Dyson Mod 27 identity. A104503

G.f.: (1-x)⁵/((-1+4·x-3·x²+x³)*(1-3·x+x²)*(-1+2·x)). A89932

Take list of squares, move left digit of each term to end of previous term. A32760