Properties of the Number 3035

Three Thousand Thirty-Five

Basics

Value: 3034 → 3035 → 3036

Parity: odd

Prime: No

Previous Prime: 3023

Next Prime: 3037

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 607

Divisors: 1, 5, 607, 3035

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111011011

Octal: 5733

Duodecimal: 190B

Hexadecimal: bdb

Square: 9211225

Square Root: 55.09083408335728

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 different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n. A34891

a(n) = (-11·n⁵ + 145·n⁴ - 635·n³ + 1115·n² - 494·n + 120)/120. A161706

Number of "hyperforests" on n unlabeled nodes, i.e., hypergraphs that have no cycles, assuming that each edge contains at least two vertices. A134955

Number of integer partitions of n whose distinct parts have integer mean. A360241

a(n) = 2·n² + 8·n + 1. A161532

Triangle read by rows in which row n lists the parts of the symmetric representation of σ of the smallest number whose symmetric representation of σ has n parts. A239665

a(n) = Frobenius number for 6 successive primes = F[p(n), p(n+1), p(n+2), p(n+3), p(n+4), p(n+5)]. A138992

Numbers k such that 6·k+1, 6·k+7, 6·k+13, 6·k+19 are consecutive primes. A90839

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240412

Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes. A90833