3440
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 8184
- Proper Divisor Sum (Aliquot Sum)
- 4744
- 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
- 1344
- Möbius Function
- 0
- Radical
- 430
- Omega Function (Ω)
- 6
- 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
- 105
- 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
- a(n) = Sum_{k=1..n-1} k^2*sigma(k)*sigma(n-k).at n=7A000477
- Coordination sequence T2 for Zeolite Code JBW.at n=39A008122
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=53A017876
- Number of (s(0), s(1), ..., s(n)) such that every s(i) is a nonnegative integer, s(0) = 0, s(1) = 1, |s(i) - s(i-1)| <= 1 for i >= 2, |s(2) - s(1)| = 1, |s(3) - s(2)| = 1 if s(2) = 1. Also sum of numbers in row n+1 of the array T in A026268.at n=8A026299
- Theta series of 6-dimensional lattice of det 8.at n=22A029543
- Numbers k such that k^2 is palindromic in base 7.at n=31A029992
- Concatenation of n and n + 6 or {n,n+6}.at n=33A032611
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.at n=4A037600
- Base-6 palindromes that start with 2.at n=37A043011
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n-1.at n=38A044372
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n-1.at n=34A044376
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n+1.at n=38A044753
- a(n) = floor(47*(n-3/2)^(3/2)).at n=17A050256
- 20-gonal (or icosagonal) numbers: a(n) = n*(9*n-8).at n=20A051872
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=25A054275
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=27A057547
- Trajectory of 19 under the `19x+1' map.at n=3A057685
- Triangle T(n,k) (1 <= k <= n) read by rows: T(n,k) is the number of permutations of [1..n] with k components.at n=39A059438
- The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=20A060354
- a(n) = floor( n^e ), e = 2.718281828...at n=19A061293