11415
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18288
- Proper Divisor Sum (Aliquot Sum)
- 6873
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6080
- Möbius Function
- -1
- Radical
- 11415
- 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
- 29
- 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
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=29A013978
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,-1,1,1.at n=23A025278
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=40A031947
- G.f.: A(x) = exp( Sum_{n>=1} 3*A038500(n) * x^n/n ), where A038500 is the highest power of 3 dividing n.at n=30A161809
- Number of n X 5 binary arrays with each 1 adjacent to exactly two other 1s.at n=7A183326
- T(n,k)=Number of nXk binary arrays with each 1 adjacent to exactly two other 1s.at n=70A183328
- Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value.at n=15A200764
- Numbers n such that T(n) + T(n+1) + ... + T(n+26) is a square, where T = A000217 (triangular numbers).at n=16A257709
- Number of trivalent bipartite connected simple graphs with 2n nodes and girth at least 6.at n=14A260811
- Numbers n whose Zeckendorf representation is of the form ww, for w a nonempty block of digits.at n=56A286710
- Numbers missing from A317416.at n=16A317418
- Distinct terms in A385988.at n=5A386905