Properties of the Number 3301

Three Thousand Three Hundred One

Basics

Value: 3300 → 3301 → 3302

Parity: odd

Prime: Yes

Previous Prime: 3299

Next Prime: 3307

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 3301

Divisors: 1, 3301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011100101

Octal: 6345

Duodecimal: 1AB1

Hexadecimal: ce5

Square: 10896601

Square Root: 57.4543296888929

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

Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime. A90707

First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2). A54800

Initial prime in set of 4 consecutive primes with common difference 6. A33451

Number of partitions of n that do not contain 2 as a part. A27336

Fourth spoke of a hexagonal spiral. A56108

The quadruples (d1,d2,d3,d4) with elements in {2,4,6} are listed in lexicographic order; for each quadruple, this sequence lists the smallest prime p >= 5 such that the differences between the 5 consecutive primes starting with p are (d1,d2,d3,d4), if such a prime exists. A78866

Sorted version of A078866. A78867

Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes. A47948

Numbers n such that (n⁹⁷-1)/(n-1) is prime. A217089

Primes p such that p, p+6, p+12, p+18 are all primes. A23271