11214
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28080
- Proper Divisor Sum (Aliquot Sum)
- 16866
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3168
- Möbius Function
- 0
- Radical
- 3738
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=47A005598
- a(n) = Sum_{k=1..n-2} T(n,k) * T(n,k+2), with T given by A026703.at n=5A027254
- Numbers k such that x = 2^k-2 satisfies phi(x)+2 = phi(x+2).at n=22A050475
- a(n) = 11*2^n - 4*n - 10.at n=10A051669
- Values of y in x^2 - 289 = 2*y^2.at n=12A106528
- Multiples of 14 containing a 14 in their decimal representation.at n=32A121034
- The 3rd Witt transform of A000027.at n=21A147611
- Numbers with digital product = 8.at n=39A199989
- Composite numbers whose product of digits is 8.at n=28A201056
- Numbers which are divisible by prime(d) for all digits d in their decimal representation.at n=25A256786
- Number of ways to remove n oranges from an infinite stack of oranges whose m-th layer is an m X (m+4) rectangle.at n=10A274598
- Expansion of e.g.f. 1 / (BesselI(0,2*x) + BesselI(1,2*x)).at n=9A308849
- Number of non-isomorphic multiset partitions of weight n in which all parts are aperiodic and all parts of the dual are also aperiodic.at n=10A320807
- A Seidel matrix A(n,k) read by antidiagonals upwards.at n=48A323833
- A Seidel matrix A(n,k) read by antidiagonals upwards.at n=51A323833
- Sum T(n,k) of multinomials M(n; lambda), where lambda ranges over all partitions of n into parts incorporating k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=29A327801
- Sum of multinomials M(n; lambda), where lambda ranges over all partitions of n into parts incorporating 1.at n=7A327827
- a(n) is the smallest proper multiple of n whose digit product is the same as the digit product of n; 0 if no such number exists.at n=41A340204
- Number of tree-rooted planar maps with n edges and no isthmuses.at n=6A342988
- E.g.f. A(x) satisfies: A(x) = 1 + x * A(-log(1-x)).at n=6A354730