Properties of the Number 88301

Eighty-Eight Thousand Three Hundred One

Basics

Value: 88300 → 88301 → 88302

Parity: odd

Prime: Yes

Previous Prime: 88289

Next Prime: 88321

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 88301

Divisors: 1, 88301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101100011101101

Octal: 254355

Duodecimal: 43125

Hexadecimal: 158ed

Square: 7797066601

Square Root: 297.1548417912789

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

Balanced primes of order ten. A96702

Primes of the form 100p + 1, where p is prime. A180469

Number of zero-sum -7..7 arrays of n elements with adjacent element differences also in -7..7. A202251

Number of zero-sum -n..n arrays of 6 elements with adjacent element differences also in -n..n. A202256

Primes such that the next 10 prime gaps are all distinct. A372550

Positions of records in A196047. A390293

T(n,k)=Number of zero-sum -k..k arrays of n elements with adjacent element differences also in -k..k. A202252

Smallest prime p such that (n+1)^p - n^p is prime. A58013

Positive integers n such that prime(n+i) is a primitive root modulo prime(n+j) for any distinct i and j among 0, 1, 2, 3. A243839

a(n) = p(n)/p(n-1), where p(n) = ( floor(n·log(n)) / ∏_{j=2..π(floor(n·log(n)))} prime(j) )!. A88301