Properties of the Number 3016

Three Thousand Sixteen

Basics

Value: 3015 → 3016 → 3017

Parity: even

Prime: No

Previous Prime: 3011

Next Prime: 3019

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 13 × 29

Divisors: 1, 2, 4, 8, 13, 26, 29, 52, 58, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111001000

Octal: 5710

Duodecimal: 18B4

Hexadecimal: bc8

Square: 9096256

Square Root: 54.91812087098393

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 partitions of n into distinct parts >= 2. A25147

Number of integer partitions of n having a unique mode. A362608

Number of twice-partitions of type (Q,P,Q) and weight n. A279790

Number of subsets of {1..n} (including empty set) such that the pairwise sums of distinct elements are all distinct. A196723

Numerator of 1/9 - 1/n². A61039

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Number of partitions of n into distinct parts, the least being 1. A96765

Number of subsets of {1..n} whose cardinality is equal to the sum of some subset. A367216

Second 9-gonal (or nonagonal) numbers: a(n) = n*(7·n+5)/2. A179986

Unique sequence satisfying SumXOR_{d divides n} a(d) = n² for any n > 0, where SumXOR is the analog of summation under the binary XOR operation. A295901