Properties of the Number 8407

Eight Thousand Four Hundred Seven

Basics

Value: 8406 → 8407 → 8408

Parity: odd

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 1201

Divisors: 1, 7, 1201, 8407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011010111

Octal: 20327

Duodecimal: 4A47

Hexadecimal: 20d7

Square: 70677649

Square Root: 91.68969407736073

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

a(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

Number of classes of endofunctions of [n] under vertical translation mod n, rotation and complement to n+1. A275554

Expansion of ∏_k>=1 (1 + x^k)^φ(k), where φ() is the Euler totient function (A000010). A299069

T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal. A223625

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251158

Somos's sequence {a(6,n)} defined in comment in A018896: a(0)=a(1)= ... = a(13) = 1; for n>=14, a(n) = (a(n-1)*a(n-13) + a(n-7)²)/a(n-14). A271831

(1/4)*number of non-degenerate isosceles triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube. A103500

Expansion of x/((1-x-x³)*(1-x)³). A226405

a(n) = (n/2)*(n⁴ + 1). A21003

Expansion of sum ( qⁿ / product( 1-q^k, k=1..4·n), n=0..inf ). A35296