3521
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 511
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3012
- Möbius Function
- 1
- Radical
- 3521
- Omega Function (Ω)
- 2
- 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
- 105
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Squares written in base 6.at n=29A001741
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=26A001976
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection.at n=40A003453
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=32A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=37A004785
- Coordination sequence T2 for Zeolite Code AFR.at n=45A008020
- Coordination sequence T2 for Zeolite Code PHI.at n=43A008228
- Coordination sequence T4 for Zeolite Code RTH.at n=41A009896
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=27A020387
- Numbers k such that Fib(k) == -13 (mod k).at n=16A023167
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).at n=48A035410
- a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n+1/2.at n=33A036704
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=30A039881
- T(n,n-1), array T as in A047140.at n=7A047143
- Numbers k such that 293*2^k + 1 is prime.at n=7A053363
- Number of nonnegative integer 2 X 2 matrices with no zero rows or columns and with sum of elements equal to n, up to row and column permutation.at n=40A054974
- Semiprimes p1*p2 such that p2 mod p1 = 6, with p2 > p1.at n=37A064904
- Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n.at n=41A066321
- When A058033 first reaches n.at n=15A084972
- a(n) = n*(n^2+3*n-1)/3.at n=21A084990