Properties of the Number 9051

Nine Thousand Fifty-One

Basics

Value: 9050 → 9051 → 9052

Parity: odd

Prime: No

Previous Prime: 9049

Next Prime: 9059

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 431

Divisors: 1, 3, 7, 21, 431, 1293, 3017, 9051

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001101011011

Octal: 21533

Duodecimal: 52A3

Hexadecimal: 235b

Square: 81920601

Square Root: 95.1367436903324

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

Fifth subdiagonal in array of n-gonal numbers A081422. A81436

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7. A252574

Vertex number of a square spiral in which the length of the first two edges are the legs of the primitive Pythagorean triple [21, 20, 29]. The edges of the spiral have length A195033. A195034

Let p = n-th prime == 3 mod 4; a(n) = (sum of quadratic nonresidues mod p) - (sum of quadratic residues mod p). A282037

Number of partitions p of n including floor(mean(p)) as a part. A241334

Triangle, read by rows, equal to the matrix cube of triangle A113389. A113394

Expansion of e.g.f. exp( x/(1-x)² ) / (1-x)². A343884

Convolution of primes with odd primes. A209403

Number of (w,x,y,z) with all terms in {1,...,n} and 2w=x+y+z. A212068

0 followed by the sum of (1),(2), (3,4),(5,6), (7,8,9),(10,11,12) from the natural numbers. A235355