Properties of the Number 7052

Seven Thousand Fifty-Two

Basics

Value: 7051 → 7052 → 7053

Parity: even

Prime: No

Previous Prime: 7043

Next Prime: 7057

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 41 × 43

Divisors: 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110001100

Octal: 15614

Duodecimal: 40B8

Hexadecimal: 1b8c

Square: 49730704

Square Root: 83.97618710086806

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) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes. A24697

Values·for records of the minima of the positive distance d between the eleventh power of a positive integer·and the square of an integer y such that d = x¹¹ - y² (x <> k² and y <> k¹¹). A179794

Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways. A64283

a(n) = (2·n)² - 4. A134582

Table of coefficients of a polynomial sequence related to the Springer numbers. A185417

a(n) = ∑_d∣n d·2^n-d. A90879

G.f.: exp( ∑_n>=1 A163659(n²)*xⁿ/n ), where x·exp(∑_n>=1 A163659(n)*xⁿ/n) = S(x) is the g.f. of Stern's diatomic series (A002487). A195586

Solutions to φ(n) = φ(σ(n)) that are not given by Theorem 3 of Golomb's manuscript. A260021

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 177", based on the 5-celled von Neumann neighborhood. A270618

Number of compositions (ordered partitions) of n into at most 6 nonprime parts. A347799