Properties of the Number 9075

Nine Thousand Seventy-Five

Basics

Value: 9074 → 9075 → 9076

Parity: odd

Prime: No

Previous Prime: 9067

Next Prime: 9091

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 11 ²

Divisors: 1, 3, 5, 11, 15, 25, 33, 55, 75, 121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101110011

Octal: 21563

Duodecimal: 5303

Hexadecimal: 2373

Square: 82355625

Square Root: 95.26279441628824

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) = binomial(n,3)*binomial(n-1,3)/4. A6542

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

T(n,k) = number of n X k 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any horizontal or vertical neighbor (colorings ignoring permutations of colors). A207997

Number of connected 2-element antichains on a labeled n-set. A94033

An eight-products triangle sequence of coefficients: T(n,k) = binomial(n,k) * ∏_j=1..7 j!*(n+j)!/((k+j)!*(n-k+j)!). A142468

Number A(n,k) of Dyck paths of semilength n having exactly nine (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of k, where 1=U=(1,1) and 0=D=(1,-1); square array A(n,k), n>=0, k>=0, read by antidiagonals. A243835

3 times 12-gonal (or dodecagonal) numbers: a(n) = 3·n*(5·n-4). A153448

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2. A275228

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero 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. A240394

Array read by descending antidiagonals: A(n,k) is the number of achiral colorings of the facets of a regular n-dimensional orthotope using up to k colors. A325007