3465
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 4023
- 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
- 1440
- Möbius Function
- 0
- Radical
- 1155
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Triangle of numbers related to triangle A049213; generalization of Stirling numbers of second kind A008277, Bessel triangle A001497.at n=10A000369
- The coding-theoretic function A(n,4,4).at n=41A001843
- a(n) = floor(1000*log(n)).at n=31A004240
- Denominator of n!!/(n+3)!!.at n=8A004733
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=4A005231
- Primitive pseudoperfect numbers.at n=50A006036
- Odd primitive abundant numbers.at n=3A006038
- Primitive nondeficient numbers.at n=39A006039
- Quadruple factorial numbers n!!!!: a(n) = n*a(n-4).at n=15A007662
- Number of fullerenes with 2n vertices (or carbon atoms).at n=22A007894
- Coordination sequence T1 for Zeolite Code ANA.at n=38A008031
- Coordination sequence T2 for Zeolite Code APD.at n=39A008035
- Triangle of coefficients of Legendre polynomials P_n (x).at n=31A008316
- Quadruple factorial numbers: Product_{k=0..n-1} (4*k + 3).at n=4A008545
- Expansion of 1/((1-x)^3*(1-x^3)^2).at n=25A011779
- Expansion of g.f. 1/((1-6*x)*(1-7*x)*(1-8*x)).at n=3A020570
- a(n) is least k such that k and 9k are anagrams in base n (written in base 10).at n=26A023101
- Second elementary symmetric function of 3,4,...,n+3.at n=9A024183
- Long leg of more than one primitive Pythagorean triangle.at n=28A024410
- a(n) = T(2n-1,n), where T is the array defined in A025177.at n=5A025183