5248
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10710
- Proper Divisor Sum (Aliquot Sum)
- 5462
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2560
- Möbius Function
- 0
- Radical
- 82
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 116
- Smith Number
- yes
- 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
- Mixed partitions of n.at n=29A002096
- Number of permutations of length n with spread 2.at n=5A004206
- a(n) = round(1000*log_2(n)).at n=37A004266
- a(n) = ceiling(1000*log_2(n)).at n=37A004267
- Number of deterministic, completely-defined, initially-connected finite automata with 2 inputs and n unlabeled states.at n=3A006689
- Theta series of {D_6}* lattice.at n=27A008425
- Expansion of Product_{m>=1} (1+x^m)^2.at n=25A022567
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 35.at n=25A031533
- Number of partitions of n into parts not of forms 4*k+2, 20*k, 10*k+5.at n=46A036026
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=38A036333
- Number of compositions (ordered partitions) of 1 into {1/1, 1/2, 1/3, ..., 1/n}.at n=10A038034
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 5 skipped primes.at n=43A050772
- Number of nonsquare divisors of n!.at n=15A056596
- Expansion of (1-x)/(1+2*x^2+2*x^3).at n=22A078037
- a(n) is the number of occurrences of 11s in the palindromic compositions of m=2*n-1 = the number of occurrences of 12s in the palindromic compositions of m=2*n.at n=7A079863
- Duplicate of A006689.at n=3A082165
- Expansion of e.g.f. (1+x)*exp(3*x)*cosh(x).at n=6A082307
- Binomial transform of positive cubes.at n=6A084903
- Numbers n which when converted to base 3, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=4A091077
- Numbers n which when converted to base 9, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=3A091083