3606
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7224
- Proper Divisor Sum (Aliquot Sum)
- 3618
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1200
- Möbius Function
- -1
- Radical
- 3606
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of permutations of [1,2,...,n] with n-1 inversions.at n=8A000707
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=120A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=100A008302
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CHI = Chiavennite Ca4Mn4[Be8Si20O52(OH)8].8H2O starting with a T4 atom.at n=13A019094
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=30A023177
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=12A027662
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 20.at n=5A031698
- Multiplicity of highest weight (or singular) vectors associated with character chi_175 of Monster module.at n=37A034563
- Number of partitions of n into parts not of the form 19k, 19k+4 or 19k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=30A035973
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=33A044886
- Numbers n such that 143*2^n-1 is prime.at n=27A050597
- a(n) = 100*n^2 + n.at n=5A055438
- First spoke of a hexagonal spiral.at n=35A056105
- Numbers which are the sum of their proper divisors containing the digit 0.at n=15A059461
- Expansion of series related to Liouville's Last Theorem: g.f. Sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^3 *Product_{i=1..t} (1-x^i) ).at n=30A059820
- Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.at n=17A061658
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,15.at n=15A064244
- Nonprimes which terminate in their sum of prime factors.at n=23A071173
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=29A073713
- Number of compositions of n where the largest part is less than or equal to the number of parts.at n=13A077229