Properties of the Number 4297

Four Thousand Two Hundred Ninety-Seven

Basics

Value: 4296 → 4297 → 4298

Parity: odd

Prime: Yes

Previous Prime: 4289

Next Prime: 4327

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 4297

Divisors: 1, 4297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011001001

Octal: 10311

Duodecimal: 25A1

Hexadecimal: 10c9

Square: 18464209

Square Root: 65.55150646628954

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(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Mian-Chowla sequence (a B₂ sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct. A5282

Primes of the form m² + 3m + 9, where m can be positive or negative. A5471

Primorial -1 primes: primes p such that -1 + product of primes up to p is prime. A6794

Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention. A46931

Number of interior intersection points made by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once. A91908

Primes p with q(p) + 1 also prime, where q(.) is the strict partition function (A000009). A234530

Primes p whose period of the reciprocal 1/p is (p-1)/3. A55628

Primes that are the sum of 11 consecutive primes. A127340

Class 5- primes (for definition see A005109). A81424