11744
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23184
- Proper Divisor Sum (Aliquot Sum)
- 11440
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5856
- Möbius Function
- 0
- Radical
- 734
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- Numbers ending with '4' that are the difference of two positive cubes.at n=27A038859
- Lesser of two consecutive numbers each divisible by a fourth power.at n=23A068782
- Number of (3412,2341)-, (3412,4123)- and (3412,52341)-avoiding involutions in S_n.at n=12A085584
- Greatest number m with A088444(m) = n.at n=31A088448
- Index of the first occurrence of prime(n) in A092938.at n=42A092939
- a(n) = 9 + floor( Sum_{j=1..n-1} a(j)/3 ).at n=25A120154
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 1), (1, 0, 1), (1, 1, -1)}.at n=8A149230
- a(n) = 5*2^(n-1) + 3*6^n/2.at n=5A154407
- Integer averages of n values of pi(n^2) for some n, where pi(n) is the number of primes <= n.at n=9A160759
- The number of permutations p of {1,...,n} satisfying |p(i)-p(i+1)| is in {4,5} for i from 1 to n-1.at n=39A174708
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=33A175534
- Symmetrical triangle read by rows: T(n, k) = m*(T(n-1, k-1) + T(n-1, k)), where T(n, 1) = T(n, n) = n, and m = 2.at n=39A177696
- Symmetrical triangle read by rows: T(n, k) = m*(T(n-1, k-1) + T(n-1, k)), where T(n, 1) = T(n, n) = n, and m = 2.at n=41A177696
- a(n) is the least k such that A295520(k) = n.at n=37A295793
- Number of smooth arithmetical structures on D_n.at n=30A335675
- Number of n-step self-avoiding walks on a square lattice where no step can be in the same direction as the previous step.at n=17A337353
- Numbers k such that k and k+1 are products of at least 6 primes.at n=12A346207
- a(1) = 1; a(n) = a(n-1) + Sum_{k=2..n} a(floor(n/k)).at n=38A351620
- a(n) is the smallest k such that A363533(k) = n, or -1 if no such k exists.at n=34A363536
- Numbers k such that k and k+1 are both terms of A365886.at n=36A365887