Properties of the Number 3005

Three Thousand Five

Basics

Value: 3004 → 3005 → 3006

Parity: odd

Prime: No

Previous Prime: 3001

Next Prime: 3011

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 5 × 601

Divisors: 1, 5, 601, 3005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101110111101

Octal: 5675

Duodecimal: 18A5

Hexadecimal: bbd

Square: 9030025

Square Root: 54.817880294662984

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 integer partitions of n containing three parts (a,b,c) (repeats allowed) such that a + b = c. A variation of sum-full partitions. A363225

Number of integer partitions of n containing their multiset of multiplicities (as a submultiset). A325702

a(n) = 2·n² + 3·n + 3. A33816

a(n) = nⁿ - n!. A36679

Number of ways to split a strict composition of n into contiguous subsequences with different sums. A336128

a(n) = least k such that the remainder when 27^k is divided by k is n. A128367

Number of primes in the interval [prime(n), prime(n)²]. A54272

Number of strict integer partitions of n with at least two but not all parts having a common divisor greater than 1. A303140

Number of integer partitions of n whose run-sums are not all equal. A382076

Number of "ON" cells after n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition). A160117