3409
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3904
- Proper Divisor Sum (Aliquot Sum)
- 495
- 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
- 2916
- Möbius Function
- 1
- Radical
- 3409
- Omega Function (Ω)
- 2
- 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
- 136
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=33A000328
- Irregular triangle read by rows: Whitney numbers of the second kind a(n,k), n >= 1, k >= 0, for the star poset.at n=46A007799
- Coordination sequence T1 for Zeolite Code AFT.at n=44A008026
- Coordination sequence T10 for Zeolite Code MFI.at n=37A008162
- Coordination sequence T2 for Zeolite Code AFX.at n=44A009865
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=3A020425
- Numbers k such that Fib(k) == -13 (mod k).at n=15A023167
- a(n) = T(2n-1,n-1), where T is the array in A026120.at n=5A026127
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=7A031804
- Denominators of continued fraction convergents to sqrt(15).at n=8A041023
- Numerators of continued fraction convergents to sqrt(503).at n=4A041960
- Denominators of continued fraction convergents to sqrt(658).at n=9A042265
- Numbers whose base-15 representation has exactly 4 runs.at n=17A043671
- Numbers k such that the string 0,9 occurs in the base 10 representation of k but not of k-1.at n=36A044341
- Numbers n such that string 0,9 occurs in the base 10 representation of n but not of n+1.at n=36A044722
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n+1.at n=37A044753
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the smallest integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.at n=13A049909
- McKay-Thompson series of class 45A for Monster.at n=44A058684
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=23A067071
- a(1) = 1, a(2) = 4; for n > 2, a(n) = k*a(n-1) + 1 where k is smallest number > 1 such that k*a(n-1) + 1 is a multiple of n.at n=6A069563