Properties of the Number 45184

Forty-Five Thousand One Hundred Eighty-Four

Basics

Value: 45183 → 45184 → 45185

Parity: even

Prime: No

Previous Prime: 45181

Next Prime: 45191

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 353

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 353, 706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1011000010000000

Octal: 130200

Duodecimal: 22194

Hexadecimal: b080

Square: 2041593856

Square Root: 212.56528408938277

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace. A185933

Number of Cayley graphs on n nodes. A185959

Number of partitions p of n such that the number of parts having multiplicity 1 is not a part and max(p) - min(p) is not a part. A241450

Numbers k such that k and k+1 are both in A376616. A376793

Number of ways to select four points from an n X n grid so that three of them form a triangle of nonzero area and the extra point is strictly inside the triangle. A334712

Number of (n+1) X 2 0..3 arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace. A185925

Number of (n+1)X4 0..3 arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace. A185927

Triangle T(n,k) for A(x)^k=sum(n>=k T(n,k)*xⁿ), where o.g.f. A(x) satisfies A(x)=(a+b·x*A(x))/(c-d·x*A(x)), a=1,b=2,c=1,d=2. A183875

Array read by antidiagonals: T(n,k) (n>=1, k>=1) = number of ways to select four points from an n X k grid so that three of them form a triangle of nonzero area and the extra point is strictly inside the triangle. A334709

The n-th term of the n-th inverse binomial transform of this sequence equals (n+1)^n-1 for n>=0. A138737