1693
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1694
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 1692
- Möbius Function
- -1
- Radical
- 1693
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 264
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=24A000923
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=45A000960
- Smallest prime p such that there is a gap of 2n between p and previous prime.at n=11A001632
- Expansion of 1/((1-2*x)*(1-x-2*x^3)).at n=9A003478
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=29A006378
- From relations between Siegel theta series.at n=15A006476
- Left diagonal of partition triangle A047812.at n=11A007044
- Number of numerical semigroups of genus n; conjecturally also the number of power sum bases for symmetric functions in n variables.at n=14A007323
- Smallest prime > n^2.at n=40A007491
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=43A007529
- Coordination sequence T3 for Zeolite Code CAS.at n=25A008065
- Coordination sequence T5 for Zeolite Code MFI.at n=26A008168
- Sum_{1<=k<n} gcd(k!,n!/k!).at n=9A014454
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14).at n=71A017890
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=4A020372
- Initial members of prime triples (p, p+4, p+6).at n=21A022005
- Primes that remain prime through 2 iterations of function f(x) = 2x + 3.at n=34A023242
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=29A023248
- Primes that remain prime through 2 iterations of function f(x) = 5x + 2.at n=26A023252
- Numbers with exactly 3 3's in their base-5 expansion.at n=37A023736