Properties of the Number 75997

Seventy-Five Thousand Nine Hundred Ninety-Seven

Basics

Value: 75996 → 75997 → 75998

Parity: odd

Prime: Yes

Previous Prime: 75991

Next Prime: 76001

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 75997

Divisors: 1, 75997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100011011101

Octal: 224335

Duodecimal: 37B91

Hexadecimal: 128dd

Square: 5775544009

Square Root: 275.6755339162328

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

Sum of squares of the first n primes. A24450

Primes that are the sum of the squares of the first k primes for some k. A98562

Primes having only {5, 7, 9} as digits. A260831

Consider the line segment in Rⁿ from the origin to the point v=(2,3,5,7,11,...) with prime coordinates; let d = squared distance to this line from the closest point of Zⁿ (excluding the endpoints). Sequence gives d times v.v. A59804

Primes with digit sum = 37. A106771

Numerator of Sum[ Prime[k]², {k,1,n}] / Product[ Prime[k], {k,1,n}] = Numerator[ A024450[n] / A002110[n] ]. A122136

Primes from A122136 corresponding to the indices A122138. A122139

Expansion of (1 + x) / ((1 - x⁴) * (1 - x - x⁵)) in powers of x. A247907

First of four consecutive primes p,q,r,s such that (2·p+q)/5 and (r+2·s)/5 are prime. A358149

Number of multisets of nonempty words with a total of n letters over septenary alphabet containing the seventh letter such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293802