Properties of the Number 9774

Nine Thousand Seven Hundred Seventy-Four

Basics

Value: 9773 → 9774 → 9775

Parity: even

Prime: No

Previous Prime: 9769

Next Prime: 9781

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 181

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 181, 362

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000101110

Octal: 23056

Duodecimal: 57A6

Hexadecimal: 262e

Square: 95531076

Square Root: 98.8635423197045

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-1 boys and one girl with no couple. A120452

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297457

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-2) or (-2,0) and new values introduced in order 0..2. A275037

Expansion of η(q)⁹ / η(q³)³ in powers of q. A109041

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234665

Consider the line segment in Rⁿ from the origin to the point v=(2,3,5,7,11,...) with prime coordinates; let d = squared distance to this line from the closest point of Zⁿ (excluding the endpoints). Sequence gives d times v.v. A59804

Integer part of Gauss's Arithmetic-Geometric Mean M(2,n³). A127764

Fourth right hand column of triangle A165674. A165676

a(n) = (1/2) * ∑_{|k|<=2·sqrt(p)} k⁴*H(4·p-k²) where H() is the Hurwitz class number and p is n-th prime. A297491

a(n) is the number of solutions to x^y == y^x (mod p) where 0 < x,y <= p² - p and p is the n-th prime. A355069