11086
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17424
- Proper Divisor Sum (Aliquot Sum)
- 6338
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- -1
- Radical
- 11086
- 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
- 205
- 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
- Row sums of array A097306.at n=37A097307
- a(n) = A113166(n) - Fibonacci(n-1), where Fibonacci(n) = A000045(n).at n=43A113486
- Number of line segments connecting exactly 8 points in an n x n grid of points.at n=35A177724
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=28A181883
- Number of molecular topological index-nonunique connected simple graphs on n nodes.at n=7A193125
- n*(n^2-2*n-1).at n=22A214446
- G.f.: Sum_{n>=1} x^n * (1+x)^n / (1-x^n).at n=19A227635
- Number of partitions p of n such that median(p) = multiplicity(max(p)).at n=41A240209
- Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is not a part.at n=39A241508
- Numbers k such that (292*10^k - 1)/3 is prime.at n=18A281407
- Irregular triangle: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 4213. 0 <= k <= A342646(n).at n=68A342840
- Lexicographically earliest sequence of distinct nonnegative terms wherein every digit of a(n) is the absolute difference of two adjacent digits in a(n+1).at n=20A362335
- a(n) = 25*n^2/2 - 11*n/2 + 1.at n=30A383465