Properties of the Number 1017

One Thousand Seventeen

Basics

Value: 1016 → 1017 → 1018

Parity: odd

Prime: No

Previous Prime: 1013

Next Prime: 1019

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 113

Divisors: 1, 3, 9, 113, 339, 1017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001

Octal: 1771

Duodecimal: 709

Hexadecimal: 3f9

Square: 1034289

Square Root: 31.89043743820395

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Numbers that are the sum of 12 positive 5th powers. A3357

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

Number of partitions of 3n into powers of 3. A5704

Numbers k such that 1 + k + k³ + k⁵ + k⁷ + k⁹ + k¹¹ is prime. A244376

Numerators of table a(n,k) read by antidiagonals: a(0,k) = 1/(k+1), a(n+1,k) = (k+1)*(a(n,k) - a(n,k+1)), n >= 0, k >= 0. A51714

Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336

Numbers where 1 outnumbers any other digit. A292451

Numbers with exactly 8 ones in binary expansion. A23690

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929