3649
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3780
- Proper Divisor Sum (Aliquot Sum)
- 131
- 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
- 3520
- Möbius Function
- 1
- Radical
- 3649
- 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
- 43
- Smith Number
- yes
- 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
- Centered 4-dimensional orthoplex numbers (crystal ball sequence for 4-dimensional cubic lattice).at n=8A001846
- Solutions of a fifth-order probability difference equation.at n=17A001949
- Numbers that are the sum of 9 positive 6th powers.at n=40A003365
- a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=19A006004
- Coordination sequence T5 for Zeolite Code MEL.at n=39A008154
- Crystal ball sequence for 8-dimensional cubic lattice.at n=4A008417
- Coordination sequence T1 for Zeolite Code DFO.at n=46A009875
- arctan(arcsin(x)-tan(x)) = -1/3!*x^3 - 7/5!*x^5 - 47/7!*x^7 + 3649/9!*x^9...at n=3A013401
- a(n) = prime(n)*(prime(n-1)-1)/2.at n=21A014302
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(16,32).at n=8A018923
- Pseudoprimes to base 55.at n=24A020183
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=7A020382
- a(n) = T(2n, n), where T is the Delannoy triangle (A008288).at n=4A026000
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 22 (most significant digit on right and removing all least significant zeros before concatenation).at n=12A029539
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=7A045213
- Expansion of (1 + 4*x + 14*x^2 + 34*x^3 + 63*x^4 + 80*x^5 + 87*x^6 + 68*x^7 + 42*x^8 + 20*x^9 + 7*x^10) / ((1 - x)*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)).at n=9A055384
- Triangle read by rows: T(n,k) = number of k-part order-consecutive partition of {1,2,...,n} (1 <= k <= n).at n=40A056242
- Number of distinct Abelian subgroups of the symmetric group S_n.at n=6A062297
- a(1) = 1 and for n > 1 let a(n) = a(n-1) + m, where m is the arithmetic mean of the largest subset of all predecessors such that m is an integer and m is maximal.at n=27A063676
- Permutation of nonnegative integers: a(n) = A013928(A019565(n)).at n=59A064273