1017
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 1482
- Proper Divisor Sum (Aliquot Sum)
- 465
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 672
- Möbius Function
- 0
- Radical
- 339
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 155
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of integral points in a certain sequence of closed quadrilaterals.at n=47A002579
- Numbers that are the sum of 12 positive 5th powers.at n=47A003357
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.at n=35A004962
- Number of partitions of 3n into powers of 3.at n=46A005704
- Tricapped prism numbers.at n=8A005920
- Number of irreducible positions of size n in Montreal solitaire.at n=7A007049
- Expansion of (1+x^12)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=42A008773
- Coordination sequence T4 for Zeolite Code RTH.at n=22A009896
- E.g.f.: cosh(exp(x)-sec(x))=1+1/2!*x^2+5/4!*x^4-20/5!*x^5+37/6!*x^6...at n=8A013337
- Positive integers n such that 2^n (mod n) == 2^9 (mod n).at n=52A015931
- Divisors of 1017.at n=5A018778
- Pseudoprimes to base 44.at n=14A020172
- Pseudoprimes to base 98.at n=14A020226
- Numbers k such that the continued fraction for sqrt(k) has period 24.at n=10A020363
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly ten 1's.at n=47A020446
- Pisot sequence L(4,10).at n=6A020734
- a(n) = n*(25*n + 1)/2.at n=9A022283
- Index of 3^n within sequence of numbers of form 2^i*3^j (A003586).at n=35A022330
- Numbers with exactly 8 ones in binary expansion.at n=42A023690
- a(n) = [ (2nd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {first n+1 primes}.at n=32A024452