11552
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 24003
- Proper Divisor Sum (Aliquot Sum)
- 12451
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5472
- Möbius Function
- 0
- Radical
- 38
- Omega Function (Ω)
- 7
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Generalized Lucas numbers.at n=13A006492
- Apply partial sum operator thrice to partition numbers.at n=16A014160
- Coordination sequence for lattice D*_76 (with edges defined by l_1 norm = 1).at n=2A035823
- Coordination sequence for diamond structure D^+_76. (Edges defined by l_1 norm = 1.)at n=2A035914
- Positive numbers having the same set of digits in base 6 and base 10.at n=32A037437
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=30A045613
- Theta series of 14-dimensional integral laminated lattice LAMBDA14.4 with minimal norm 4.at n=3A047627
- Numbers k such that 2^k + 15 is prime.at n=42A057197
- Number of (binary) bit strings in which no even length block of 0's is followed by an even length block of 1's.at n=14A065494
- Numbers k such that the numerator of Sum_{d|k} 1/d > 2k.at n=41A069057
- E.g.f. 1/(cos(2*x) - sin(2*x)).at n=5A079858
- Twice a square but not the sum of 2 distinct squares.at n=45A081324
- Expansion of eta(q)^2 / (eta(q^2) * eta(q^4)^6) in powers of q.at n=28A134414
- Expansion of phi(x) / f(-x)^6 in powers of x where phi(), f() are Ramanujan theta functions.at n=7A134415
- a(n) = 8*n^2.at n=38A139098
- Number of ways to write n as the root-mean-square (RMS) of a set of distinct primes.at n=51A163974
- Product of the 5th power of a prime and different distinct prime of the 2nd power (p^5*q^2).at n=8A179646
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=27A180319
- Numbers k such that A071324(k) is prime.at n=46A193351
- a(n) = sigma(2*n)^2 - sigma(n)^2.at n=36A227733