3492
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
- 8918
- Proper Divisor Sum (Aliquot Sum)
- 5426
- 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
- 1152
- Möbius Function
- 0
- Radical
- 582
- 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
- 149
- 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
- Number of strict 7th-order maximal independent sets in cycle graph.at n=53A007394
- Coordination sequence T1 for Zeolite Code AFG.at n=41A008012
- Coordination sequence T1 for Zeolite Code LOS.at n=41A008132
- Coordination sequence T3 for Zeolite Code MEI.at n=43A008148
- Coordination sequence T1 for Zeolite Code MEL.at n=38A008150
- Coordination sequence T5 for Zeolite Code MEL.at n=38A008154
- Coordination sequence T3 for Zeolite Code SGT.at n=37A008231
- Number of associative binary operations on an n-set; number of labeled semigroups.at n=4A023814
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (F(2), F(3), F(4), ...).at n=11A025092
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^3.at n=50A028643
- Multiplicity of highest weight (or singular) vectors associated with character chi_127 of Monster module.at n=38A034515
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=48A035937
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) <= cn(1,5).at n=50A036846
- Numerators of continued fraction convergents to sqrt(146).at n=2A041266
- Numbers n such that string 9,2 occurs in the base 10 representation of n but not of n-1.at n=37A044424
- Numbers k such that string 9,2 occurs in the base 10 representation of k but not of k+1.at n=37A044805
- Triangle read by rows: T(n,k) = number of labeled digraphs with n nodes and k arcs and without directed paths of length >=2, with 0 <= k <= floor(n^2/4).at n=24A052296
- e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2*k.at n=32A054979
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=30A057547
- Numbers k such that 3*5^k - 2 is prime.at n=17A057917