11823
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18048
- Proper Divisor Sum (Aliquot Sum)
- 6225
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6744
- Möbius Function
- -1
- Radical
- 11823
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 4).at n=43A035542
- Values of A038005 ending in 3.at n=11A038013
- Nearest integer to log(n)^sqrt(n).at n=47A062464
- Numbers n such that 54 'Reverse and Add' steps are needed to reach a palindrome.at n=1A065321
- Binomial convolution of A069321(n), where A069321(0)=0, with the sequence of all 1's alternating in sign.at n=6A091346
- Take an n X n square grid of points in the plane; a(n) = number of ways to divide the points into two sets using a straight line.at n=13A114043
- Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=6.at n=29A143449
- Expansion of (1 - 4*x + 7*x^2 - 4*x^3 + x^4)/(1 - 7*x + 17*x^2 - 17*x^3 + 7*x^4 - x^5).at n=8A166336
- a(1)=4. a(n) = a(n-1) + n, if a(n-1)+n is composite. Otherwise a(n) = a(n-1)*n.at n=11A175459
- Number of partitions of n having no parts with multiplicity 9.at n=34A184644
- a(n) = prime(n+2)^3 - prime(n+1)^2 + prime(n).at n=6A261464
- Maximal term of TRIP-Stern sequence of level n corresponding to permutation triple (e,13,132).at n=26A271487
- T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=58A279709
- Number of 4Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=7A279711
- Number of integers in base n having exactly three distinct digits such that the number formed by the consecutive subsequence of the initial j digits is divisible by j for all j in {1,2,3}.at n=43A333405
- a(n) = Sum_{k=1..n} (-1)^(k-1) * binomial(floor(n/k)+3,4).at n=21A366659