Properties of the Number 9052

Nine Thousand Fifty-Two

Basics

Value: 9051 → 9052 → 9053

Parity: even

Prime: No

Previous Prime: 9049

Next Prime: 9059

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 31 × 73

Divisors: 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101011100

Octal: 21534

Duodecimal: 52A4

Hexadecimal: 235c

Square: 81938704

Square Root: 95.14199913813037

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) is the number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors. A200886

a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres. A46127

Number of integer compositions of n whose leaders of anti-runs are weakly increasing. A374681

T(n,k) = Number of n X k 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. A202916

Number of partitions p of n including ceiling(mean(p)) as a part. A241336

Numbers m with C(2·m, m) - prime(m) prime, where C(2·m, m) = (2·m)!/(m!)². A236248

Number of partitions of 1/n into 4 reciprocals of positive integers. A20327

Triangle read by rows: T(m,n) (1 <= n < m) is the number of moves of an (m,n)-leaper (a generalization of a chess knight) until it can no longer move, starting on a board with squares spirally numbered from 1. Each move is to the lowest-numbered unvisited square. T(m,n) = -1 if the path never terminates. A323749

Parameters n for which the elliptic curve y²=x³+n has rank 4. A179124

Expansion of B(x)/sqrt(1 + 2*(B(x)-1)), where B(x) is the g.f. of A000984. A387086