1697
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1698
- 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
- 1696
- Möbius Function
- -1
- Radical
- 1697
- 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
- yes
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 265
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partially achiral rooted trees.at n=12A003240
- Numbers of Twopins positions.at n=14A005683
- Primes with both 10 and -10 as primitive root.at n=48A007349
- Coordination sequence T3 for Zeolite Code HEU.at n=27A008118
- Coordination sequence T1 for Zeolite Code CON.at n=29A009868
- [ n(n-1)(n-2)(n-3)/7 ].at n=12A011917
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=26A015628
- Five iterations of Reverse and Add are needed to reach a palindrome.at n=37A015982
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=14A020356
- Number of strong edge-subgraphs in Moebius ladder M_n.at n=2A020866
- Primes p such that 7*p + 8 is also prime.at n=49A023226
- Numbers k such that k and 8*k + 1 are both prime.at n=48A023228
- Primes that remain prime through 2 iterations of function f(x) = 3x + 10.at n=42A023249
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=14A023280
- Numbers with exactly 5 2's in their ternary expansion.at n=31A023703
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=25A024809
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=20A026103
- Friedlander-Iwaniec primes: Primes of form a^2 + b^4.at n=40A028916
- Primes which when concatenated with next two primes are also prime.at n=39A030468
- Record values in A030717.at n=54A030721