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Properties of the Number 3039

Three Thousand Thirty-Nine

Basics

Value: 3038 → 3039 → 3040

Parity: odd

Prime: No

Previous Prime: 3037

Next Prime: 3041

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 1013

Divisors: 1, 3, 1013, 3039

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101111011111

Octal: 5737

Duodecimal: 1913

Hexadecimal: bdf

Square: 9235521

Square Root: 55.12712580935088

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

Number of partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026
Minimal natural number (in decimal representation) with n prime substrings in binary representation (substrings with leading zeros are considered to be nonprime). A217302
Number of integer partitions of n whose median appears more times than any other part, i.e., partitions containing a unique mode equal to the median. A363740
Composite and every divisor (except 1) contains the digit 3. A62668
Number of nonempty subsets of {1, 2, ..., n} having pairwise coprime elements. A187106
a(n) = 3·n2 - n - 1. A144390
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219816
Numbers k that are the products of two distinct primes such that 2·k-1, 4·k-3 and 8·k-7 are also products of two distinct primes. A177212
Number of integer partitions of n not containing 1 or any part whose prime indices all belong to the partition. A324755
Total number of edges in graph formed by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces. A332376