Properties of the Number 8974

Eight Thousand Nine Hundred Seventy-Four

Basics

Value: 8973 → 8974 → 8975

Parity: even

Prime: No

Previous Prime: 8971

Next Prime: 8999

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 641

Divisors: 1, 2, 7, 14, 641, 1282, 4487, 8974

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100001110

Octal: 21416

Duodecimal: 523A

Hexadecimal: 230e

Square: 80532676

Square Root: 94.73119866232032

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 subsets of {1..n} (including empty set) such that the pairwise sums of distinct elements are all distinct. A196723

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300539

Triangle T(n,k) defined by ∑_k=1..n T(n,k)*u^k*tⁿ/n! = ((1+t)*(1+t²)*(1+t³)...)^u. A75525

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A230840

Numbers n that have an equal number of even and odd values of A001221(k) for 1 <= k <= n. A275547

Expansion of ∏_k=1..9 (1+x^2·k-1)/(1-x^2·k). A316721

Shifts left under XOR-convolution with itself. A7462

Denominator of (prime(n)+1)*(prime(n+1)+1)/(4*(prime(n)*prime(n+1)+1)). A79082

a(1) = 1, a(2) = 9, a(n+2) = 9·a(n+1) + (n + 1)²*a(n). A142982

Expansion of c(x²)*(1+x)/(1-x), c(x) the g.f. of A000108. A155051