Properties of the Number 4017

Four Thousand Seventeen

Basics

Value: 4016 → 4017 → 4018

Parity: odd

Prime: No

Previous Prime: 4013

Next Prime: 4019

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 103

Divisors: 1, 3, 13, 39, 103, 309, 1339, 4017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110110001

Octal: 7661

Duodecimal: 23A9

Hexadecimal: fb1

Square: 16136289

Square Root: 63.3798075099633

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

a(n) = 2ⁿ - 1 - n*(n+1)/2. A2662

D-toothpick sequence of the second kind (see Comments lines for definition). A194270

Number of partitions of n into Fibonacci parts (with a single type of 1). A3107

Number of primes less than 1000n. A38812

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (same as A160410, but a(1) = 1, not 4). A160414

Number of integer compositions of n that are not the first sums of any composition. A391680

a(n) = n*(11·n² - 5)/6. A4467

Number of isomorphism classes of involutory abelian/medial quandles of order n. A242044

a(n) = ∑_k=0..9 binomial(n,k). A8862

a(n) = A000217(A000217(n))-n². A86602