11803
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 1877
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10080
- Möbius Function
- -1
- Radical
- 11803
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 81
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (n+1)*(n^2+n+2)/2; g.f.: (1 + 2*x^2) / (1 - x)^4.at n=28A006000
- Square root of A030681.at n=30A030682
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones.at n=6A031787
- Denominators of continued fraction convergents to sqrt(669).at n=11A042287
- Matrix 7th power of partition triangle A008284.at n=47A050301
- a(n) = Sum_{k=1..n} lcm(n,k).at n=28A051193
- a(n) = floor((n + 1/2)^(n + 1/2)).at n=5A127265
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 8 and 9.at n=44A136852
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 1), (-1, 0), (0, 1), (1, -1), (1, 0)}.at n=7A151298
- Indices j in A000040 such that j is an odd composite and the distinct digits of the prime A000040(j) are in increasing order.at n=37A155775
- a(n) = (2*n^3 + 5*n^2 - 5*n)/2.at n=21A162265
- Composite squarefree numbers n such that p(i)-5 divides n+5, where p(i) are the prime factors of n.at n=11A225705
- Numbers n such that phi(n) = 3*phi(n-1).at n=31A266268
- Number of integers in n-th generation of tree T(5/2) defined in Comments.at n=25A274153
- a(n) = 2*A090495(n) - 1.at n=20A274297
- Number of ways to choose a strict rooted partition of each part in a rooted partition of n.at n=21A301753
- Expansion of e.g.f. (1 + x)*log(1 + x)*exp(x).at n=10A306948
- Sphenic numbers that are also the sum of three consecutive primes.at n=42A335969
- Number of (not necessarily connected) unit-distance graphs on n nodes.at n=8A350507
- 31-gonal numbers: a(n) = n*(29*n-27)/2.at n=29A360488