Properties of the Number 3007

Three Thousand Seven

Basics

Value: 3006 → 3007 → 3008

Parity: odd

Prime: No

Previous Prime: 3001

Next Prime: 3011

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 31 × 97

Divisors: 1, 31, 97, 3007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110111111

Octal: 5677

Duodecimal: 18A7

Hexadecimal: bbf

Square: 9042049

Square Root: 54.83611948342078

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 whose product of parts is not n. A379736

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

Number of times prime(n) occurs as the least prime factor among numbers 1 .. prime(n)³: a(n) = A078898(A030078(n)). A250474

Number of integer partitions of n such that, for all parts·of multiplicity 1, either x - 1 or x + 1 is also a part. A355393

Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m. A111045

a(n) = n*(3·n + 4). A140676

BII-numbers of achiral set-systems. A330217

Number of ordered triples of integers from [ 1..n ] with no global factor. A15631

a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46254

Number of partitions of n with more odd parts than even parts. A108950