3636
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 9282
- Proper Divisor Sum (Aliquot Sum)
- 5646
- 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
- 1200
- Möbius Function
- 0
- Radical
- 606
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 17
- 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
- a(n) = a(n-1) + a(n-1-(number of odd terms so far)).at n=29A007604
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=24A015663
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=35A020338
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=39A020644
- Number of partitions of n^2 into distinct squares.at n=36A030273
- Number of rooted planar trees where any 2 subtrees extending from same node have a different number of nodes.at n=11A032010
- Numbers in which all pairs of consecutive base-10 digits differ by 3.at n=49A033081
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+11 or 24k-11. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=39A036034
- Number of partitions of n such that cn(1,5) <= cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=66A036849
- Numbers whose sum of reciprocals of digits is the reciprocal of an integer.at n=37A037264
- Sum of reciprocals of digits = 1.at n=19A037268
- Numbers k such that the string 8,8 occurs in the base 9 representation of k but not of k-1.at n=44A044331
- Same rule as Aitken triangle (A011971) except a(0,0)=0, a(1,0)=1.at n=38A046936
- a(n) = 3*a(n-2) + 2*a(n-3) for n > 2, a(0)=1, a(1)=0, a(2)=3.at n=13A053088
- e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2*k.at n=33A054979
- Numbers of the form (10*a + b)^2 + (10*b + a)^2 with a and b less than 10, in numerical order.at n=17A061191
- Harmonic mean of digits is 4.at n=21A062182
- Numbers whose decimal representations consist of nested and /or concatenated ordered pairs 0-9, 1-8, 2-7, 3-6 and 4-5.at n=32A065751
- Numbers n such that n and 2^n end with the same two digits.at n=36A067865
- 1/n has period 4 in base 10.at n=21A069858