11355
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18192
- Proper Divisor Sum (Aliquot Sum)
- 6837
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- -1
- Radical
- 11355
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 161
- 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
- In ternary expansion of n, reading from left to right, digits occur in order ...,0,1,2,0,1,2,...at n=17A037079
- Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0.at n=8A037504
- Areas of a sequence of right-angled figures described below.at n=17A058195
- Numbers with all odd digits, in which each digit divides the number formed by the rest, i.e., the number obtained by just removing this digit.at n=44A061507
- Smallest multiple of n using all the digits of all its divisors (a permutation of the concatenation of its divisors), or 0 if no such number exists.at n=14A077351
- RATS: Reverse Add Then Sort the digits applied to previous term, starting with 6999.at n=2A209879
- a(n) = arrange digits of concatenation of divisors of n (A037278, A176558) in increasing order in base 10 (zero digits are omitted).at n=14A243361
- Number of simple connected graphs with n nodes that have no subgraph isomorphic to the bowtie graph or bull graph.at n=9A243552
- Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 6.at n=9A245125
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7.at n=16A252377
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood.at n=30A272989
- Numbers, with digits in nondecreasing order, whose product of digits equals the number of digits times the sum of digits.at n=20A316147
- Number of prime numbers of the form k^2 + k + 41 below 10^n.at n=8A319906
- Numbers k such that 455*2^k+1 is prime.at n=20A323197
- Number of Baxter matrices of size 3 X n.at n=11A347673
- Numbers in whose base 3-representation every two consecutive digits and every three consecutive digits are distinct.at n=32A369635