Properties of the Number 8409

Eight Thousand Four Hundred Nine

Basics

Value: 8408 → 8409 → 8410

Parity: odd

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2803

Divisors: 1, 3, 2803, 8409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011011001

Octal: 20331

Duodecimal: 4A49

Hexadecimal: 20d9

Square: 70711281

Square Root: 91.70059977993601

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 of partitions of n in which the number of parts divides n. A67538

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 1,0 1,1 0,-1 or -1,1. A264569

G.f.: ∏_m>0 (1+x^m+2!*x^2·m). A293204

Coefficient of q^2n-1 in the series expansion of Ramanujan's mock θ function f(q). A199

a(n) = 10·n² - 1. A158447

Triangle read by rows where T(n,k) is the number of set partitions of {1..n} with exactly k distinct block-sums. A371788

a(n) = 841·n - 1. A158402

Monotonic ordering of set S generated by these rules: if·and y are in S then (x+1)(y+1) is in S, and 2 is in S. A192518

Row sums of triangular matrix defined by exp(L) where L(n,k) = C(2·n, 2·k+1) for n>=0, k=0..n. A246387

Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic nonresidues mod p that are < p/2. A282724