1711
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1800
- Proper Divisor Sum (Aliquot Sum)
- 89
- 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
- 1624
- Möbius Function
- 1
- Radical
- 1711
- Omega Function (Ω)
- 2
- 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
- yes
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Coefficients of period polynomials.at n=15A006308
- a(n) = p*(p-1)/2 for p = prime(n).at n=16A008837
- Coordination sequence T1 for Zeolite Code ZON.at n=29A009919
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=29A014105
- Odd triangular numbers.at n=29A014493
- Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).at n=24A014561
- Binomial coefficients C(n,57).at n=2A017721
- Binomial coefficients C(59,n).at n=2A017775
- Numbers k such that the continued fraction for sqrt(k) has period 24.at n=22A020363
- Largest value of k for which Golay-Rudin-Shapiro sequence A020986(k) = n.at n=35A020991
- Describe previous term from the right (method A - initial term is 7).at n=2A022511
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=20A024826
- E.g.f.: -exp(-x/(1-2*x))/(1-2*x).at n=5A025166
- Index of 6^n within the sequence of the numbers of the form 3^i*6^j.at n=45A025713
- a(n) = A026637(2*n-1, n-2).at n=5A026642
- Expansion of (1+x^2-x^3)/(1-x)^4.at n=19A027378
- Numbers whose product of digits is prime.at n=35A028842
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=20A031894
- Numbers k such that 249*2^k+1 is prime.at n=33A032501
- Concentric pentagonal numbers: floor( 5*n^2 / 4 ).at n=37A032527