Properties of the Number 7217

Seven Thousand Two Hundred Seventeen

Basics

Value: 7216 → 7217 → 7218

Parity: odd

Prime: No

Previous Prime: 7213

Next Prime: 7219

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 1031

Divisors: 1, 7, 1031, 7217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110000110001

Octal: 16061

Duodecimal: 4215

Hexadecimal: 1c31

Square: 52085089

Square Root: 84.95292814258964

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

Values of n such that L(12) and N(12) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227515

Number of partitions of n into parts not a multiple of 7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 9 are greater than 1. A35985

a(1) = 6; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46256

Numbers of the form (4k+3)²+4 or (4k+5)²-8. A214393

Numbers that are the sum of four positive cubes in four or more ways. A343971

Numbers that are the sum of four positive cubes in exactly four ways. A343972

Start with 1013 and repeatedly reverse the digits and add 2 to get the next term. A120214

a(n) = 4·n² + 4·n - 7. A166147

Semiprimes whose prime factors differ from each other in one bit position only. A261077

Number of 2-color vertex orderings of the labeled path graph on n vertices in which the number 1 is assigned to a vertex in an odd position. A360514