11802
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27072
- Proper Divisor Sum (Aliquot Sum)
- 15270
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 1
- Radical
- 11802
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 143
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=14A004949
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.at n=14A004969
- Numbers k such that rotating digits of k^2 left once still yields a square.at n=14A045878
- McKay-Thompson series of class 34a for the Monster group.at n=39A058639
- Numbers which are the sum of their proper divisors containing the digit 9.at n=33A059468
- Numbers n such that phi(n+1) = 3*phi(n).at n=31A067143
- G.f. A(x) satisfies A(x) = 1 + x*A(x)^3 * A(x*A(x)^3)^3.at n=5A120973
- a(n) = n*Lucas(n).at n=14A146005
- a(n) = (6 + 10*n + 5*n^2 + n^3)/2.at n=27A164845
- a(n) = a(n-1)*2 - floor(sqrt(a(n-2))).at n=16A182558
- Least k such that floor(k/r^n)=n, where r = golden ratio = (1+sqrt(5))/2.at n=13A182614
- Number of 3-element subsets of {1,...,n} whose sum has more than 2 divisors.at n=45A241563
- Number of Dyck paths of semilength n having exactly 7 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).at n=4A243419
- Number of strings of length n over a 7-letter alphabet that do not begin with a palindrome.at n=5A252700
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 323", based on the 5-celled von Neumann neighborhood.at n=25A271255
- Number of nX2 0..1 arrays with every element unequal to 0, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=13A317809
- Number of nXn 0..1 arrays with every element unequal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=6A318418
- Number of nX7 0..1 arrays with every element unequal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=6A318422
- Numbers whose base phi representation is symmetrical with respect to the radix point.at n=39A330672
- Table read by antidiagonals: T(w,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the middle of the tube.at n=22A337400