Properties of the Number 3313

Three Thousand Three Hundred Thirteen

Basics

Value: 3312 → 3313 → 3314

Parity: odd

Prime: Yes

Previous Prime: 3307

Next Prime: 3319

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 3313

Divisors: 1, 3313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011110001

Octal: 6361

Duodecimal: 1B01

Hexadecimal: cf1

Square: 10975969

Square Root: 57.55866572463264

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 one): primes which are the average of the previous prime and the following prime. A6562

Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6·k*(k-1) + 1. A3154

Primes > 1000 in which every substring of length 3 is also prime. A69489

Prime numbers > 1000 such that all the substrings of length >= 3 are primes (substrings with leading '0' are considered to be nonprime). A211685

Concentric hexagonal numbers: floor(3·n²/2). A32528

Primes with 10 as smallest positive primitive root. A61323

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

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

Primes from merging of 4 successive digits in decimal expansion of e. A104845