Properties of the Number 9066

Nine Thousand Sixty-Six

Basics

Value: 9065 → 9066 → 9067

Parity: even

Prime: No

Previous Prime: 9059

Next Prime: 9067

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1511

Divisors: 1, 2, 3, 6, 1511, 3022, 4533, 9066

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001101101010

Octal: 21552

Duodecimal: 52B6

Hexadecimal: 236a

Square: 82192356

Square Root: 95.21554494934112

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(n) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

a(n) = (n+1)*(n² +8·n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times. A8778

Table by antidiagonals, T(n,k) is the number of partitions of {1..(nk)} that are invariant under a permutation consisting of n k-cycles. A162663

Number of unimodal functions [1..n]->[0..2]. A223718

Triangle T(r,n) read by rows: number of n X n (0,1)-matrices with exactly r entries equal to 1 and no zero row or columns. A104601

Bases b where exactly eight primes p with p < b exist such that p is a base-b Wieferich prime. A325884

Triangle T(n,k) read by rows, giving the number of n X n binary matrices with no zero rows or columns and with k=0..n² ones. A55599

Expansion of e.g.f. exp(∑_d∣M (exp(d·x)-1)/d), M=4. A141003

T(n,k) = Number of n X k 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A239849

Partial sums of A080670. A287881