3735
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
- 12
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 2817
- 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
- 1968
- Möbius Function
- 0
- Radical
- 1245
- Omega Function (Ω)
- 4
- 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
- 38
- 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
- no
- Odd
- yes
Appears in sequences
- Number of solutions to k_1 + 2*k_2 + ... + n*k_n = 0, where k_i are from {-1,0,1}, i=1..n.at n=11A007576
- Coordination sequence T3 for Zeolite Code DAC.at n=38A008069
- Coordination sequence T2 for Zeolite Code HEU.at n=40A008117
- Quadruples of different integers from [ 1,n ] with no global factor.at n=18A015622
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=28A015631
- Number of partitions of n into parts having a common factor.at n=56A018783
- a(n) = n*(23*n + 1)/2.at n=18A022281
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=25A026064
- G.f.: x^2*(x^2 + x + 1)/(x^4 - 2*x + 1).at n=12A027084
- 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 11.at n=34A031509
- Largest coefficient in expansion of Product_{i=1..n} (1 + q^i + q^(2i)).at n=10A039826
- Base-8 palindromes that start with 7.at n=12A043027
- Starting positions of strings of 2 1's in the decimal expansion of Pi.at n=36A050208
- a(n) = (s(n)-(n mod 2)) / n where s(n) is A006533.at n=47A056891
- Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=26A060949
- Maximal number of 132 patterns in a permutation of 1,2,...,n.at n=36A061061
- Multiples of 9 containing only odd digits.at n=44A061817
- Group the positive integers as (1, 2), (3, 4, 5), (6, 7, 8, 9, 10), (11, 12, 13, 14, 15, 16, 17), ... the n-th group containing prime(n) elements. Except the first, all groups contain an odd number of elements and hence have a middle term. Sequence gives the middle terms starting from group 2.at n=42A073612
- a(n) = floor(1/(n-1) * Sum_{k=1..n-1} a(k)^(n/k)), given a(0)=1, a(1)=2, a(2)=5.at n=11A079117
- Duplicate of A007576.at n=11A086821