11244
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
- 12
- Divisor Sum
- 26264
- Proper Divisor Sum (Aliquot Sum)
- 15020
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 5622
- Omega Function (Ω)
- 4
- 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
- 60
- 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) = floor( n*(n-1)*(n-2)*(n-3)/27 ).at n=25A011937
- Self-convolution of natural numbers >= 3.at n=35A023551
- a(n) = T(0,n)+T(1,n-1)+...+T(n,0), array T given by A048505.at n=8A048514
- Numbers k such that 30*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A055520
- Least k such that gcd(prime(k+1)-1, prime(k)-1) = 2n.at n=18A067605
- Geometric mean of digits = 2 and digits are in nondecreasing order.at n=12A069512
- Numbers n with digits in nondecreasing order such that sum of the reciprocal of digits is an integer.at n=22A091784
- a(n) = n * (6*n^2 + 6*n + 1).at n=11A094421
- Third differences of A001521.at n=33A241576
- Number of nXnXn triangular 0..6 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all equal.at n=3A271405
- T(n,k)=Number of nXnXn triangular 0..k arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all equal.at n=39A271407
- If n^2 has an even number of digits, write n after the left half of the digits of n^2 and before the right half, otherwise if n^2 has 2t+1 digits, write n after the first t digits of n^2 and before the last t+1 digits.at n=11A274620
- Expansion of 1/(1 - x*Product_{k>=1} (1 + x^(2*k))/(1 - x^(2*k-1))).at n=12A302020
- a(n) = Sum_{d|n} (-1)^(n/d+1)*d*prime(d).at n=48A318367
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=27A320717
- Coefficient of x^n in the expansion of ( (1+x)^6 + x^2 )^n.at n=4A388537