Properties of the Number 3006

Three Thousand Six

Basics

Value: 3005 → 3006 → 3007

Parity: even

Prime: No

Previous Prime: 3001

Next Prime: 3011

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 167

Divisors: 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110111110

Octal: 5676

Duodecimal: 18A6

Hexadecimal: bbe

Square: 9036036

Square Root: 54.8270006474912

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

Partial sums of A299287. A299288

Numbers n such that Bernoulli number B_n has denominator 798. A272138

Number of partitions of n minus number of divisors of n. A144300

Positions of occurrences of the natural numbers as a second subsequence in A100035. A100037

Numbers m such that there are precisely 10 groups of order m. A249553

Numbers whose base-2 and base-10 expansions have the same digit sum. A37308

Non-deficient numbers with even σ which are not Zumkeller. A171641

Numbers n that raised to the powers from 1 to k (with k>=1) are multiples of the sum of their digits (n raised to k+1 must not be a multiple). Case k=4. A135189

Positive integers n such that n¹² + 1 is semiprime. A105142

a(1)=8; a(n)=floor((79+sum(a(1) to a(n-1)))/9). A120209