4197
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5600
- Proper Divisor Sum (Aliquot Sum)
- 1403
- 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
- 2796
- Möbius Function
- 1
- Radical
- 4197
- 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
- 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
- 64
- 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
- Number of restricted 3 X 3 matrices with row and column sums n.at n=35A005045
- Coordination sequence T1 for Zeolite Code BOG.at n=46A008049
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=20A020389
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=23A024480
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=22A025100
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 42.at n=27A031540
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=35A031794
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.at n=20A032701
- a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n+1/2.at n=36A036704
- Coordination sequence T4 for Zeolite Code ESV.at n=43A038411
- Coordination sequence T6 for Zeolite Code ESV.at n=43A038413
- Numerators of continued fraction convergents to sqrt(981).at n=6A042898
- Numbers whose base-8 representation has exactly 5 runs.at n=25A043627
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=14A045027
- a(1) = 9; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=30A046259
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 2.at n=14A049888
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=24A050963
- Number of points in Z^6 of norm <= n.at n=3A055412
- Number of points in Z^n of norm <= 3.at n=6A055427
- Positive numbers whose product of digits is 12 times their sum.at n=35A062045