Properties of the Number 3015

Three Thousand Fifteen

Basics

Value: 3014 → 3015 → 3016

Parity: odd

Prime: No

Previous Prime: 3011

Next Prime: 3019

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 67

Divisors: 1, 3, 5, 9, 15, 45, 67, 201, 335, 603

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101111000111

Octal: 5707

Duodecimal: 18B3

Hexadecimal: bc7

Square: 9090225

Square Root: 54.909015653169384

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

a(n) = (prime(n)² - 1)/24. A24702

Multiples of 15 containing a 15 in their decimal representation. A121035

Expansion of ∑_k>=2 x^k*(k+3/2) / ∏_j=1..k (1 - x^j). A318029

a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1). A37165

Number of partitions of n in which the greatest part is 10. A26816

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

a(n) = (n+1)*a(n-1) + a(n-2), with a(0)=0, a(1)=1. A58307

Partial sums of gcd-sum sequence A018804. A272718

Number of representations of n as a sum of products of pairs of integers larger than 1, considered to be equivalent when terms or factors are reordered. A182270