Properties of the Number 2017

Two Thousand Seventeen

Basics

Value: 2016 → 2017 → 2018

Parity: odd

Prime: Yes

Previous Prime: 2011

Next Prime: 2027

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2017

Divisors: 1, 2017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11111100001

Octal: 3741

Duodecimal: 1201

Hexadecimal: 7e1

Square: 4068289

Square Root: 44.91102314577124

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

Primes p such that (p+1)/2 is prime. A5383

Number of (w,x,y) such that w,x,y are all in {0,...,n} and |w-x| = |x-y|. A212959

Primes whose decimal representation is a valid number in base 8 and interpreted as such is again a prime. A235394

Number of permutations of n elements not containing the consecutive pattern 123. A49774

Number A(n,k) of permutations of [n] avoiding the consecutive step pattern given by the binary expansion of k, where 1=up and 0=down; square array A(n,k), n>=0, k>=0, read by antidiagonals. A242784

Primes of the form x² + 24·y². A107008

Friedlander-Iwaniec primes: Primes of form a² + b⁴. A28916

a(n) = 2·n² - n + 1. A130883

Smallest palindrome greater than n in bases n and n+1. A48268

Primes congruent to 2 mod 31. A142006

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