Properties of the Number 3013

Three Thousand Thirteen

Basics

Value: 3012 → 3013 → 3014

Parity: odd

Prime: No

Previous Prime: 3011

Next Prime: 3019

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 23 × 131

Divisors: 1, 23, 131, 3013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111000101

Octal: 5705

Duodecimal: 18B1

Hexadecimal: bc5

Square: 9078169

Square Root: 54.89080068645383

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

Generalized 13-gonal numbers: m*(11·m-9)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A195313

Number of partitions of n such that 2*(least part) = (number of parts). A237757

Expansion of 1/(1 - x - x¹⁰ - x¹⁹ + x²⁰). A175740

Number of partitions of n in which no parts are multiples of 6. A219601

Composite and every divisor (except 1) contains the digit 3. A62668

Number of ON states after n generations of cellular automaton rule described by the rulestring B1/S012345678. A151725

Numbers n such that p(7n) is prime, where p(n) is the number of partitions of n. A114167

Expansion of ∏_k>=2 1/(1 - x^k)^ω(k), where ω(k) is the number of distinct primes dividing k (A001221). A293548

Canyon numbers. Numbers with exactly one locally minimal digit and with exactly two locally maximal digits which are the same digit and nonadjacent. A134970

Numbers which yield a prime whenever a 3 is prefixed, appended or inserted. A158594