3748
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
- 6
- Divisor Sum
- 6566
- Proper Divisor Sum (Aliquot Sum)
- 2818
- 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
- 1872
- Möbius Function
- 0
- Radical
- 1874
- Omega Function (Ω)
- 3
- 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
- 175
- 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
- Coordination sequence T1 for Zeolite Code EPI.at n=38A008090
- Coordination sequence T3 for Zeolite Code iRON.at n=43A009883
- Coordination sequence for alpha-Mn, Position Mn3.at n=16A009952
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=5A020401
- a(n) = n-th largest even number in array T given by A027170.at n=48A027183
- 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 30.at n=38A031528
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=27A031796
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u2.at n=14A048190
- Number of mobiles (circular rooted trees) with n nodes and 3 leaves.at n=18A055341
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=44A057547
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 80 ).at n=38A063353
- a(n) is the number of nonempty sets of distinct positive integers that have a least common multiple of n.at n=59A076078
- Numbers k such that h(k) = h(k-1) + h(k-2), where h(k) = A006577(k) + 1 is the length of the sequence {k, f(k), f(f(k)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=17A078418
- Numbers n such that h(n) = 2 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=13A078419
- a(n) = floor(9^n/5^n).at n=14A094986
- Numbers that appear in A076078.at n=20A097210
- a(n) = the number of sets of distinct positive integers with a least common multiple of A025487(n), i.e., A076078(A025487(n)).at n=12A097211
- Numbers n such that A076078(m)=n for some m, excluding powers of 2.at n=8A097416
- Expansion of (1 - x - 4*x^2)/(1 - x - 8*x^2).at n=8A100303
- Total number of parts smaller than the largest part, in all partitions of n.at n=19A116686