3428
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6006
- Proper Divisor Sum (Aliquot Sum)
- 2578
- 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
- 1712
- Möbius Function
- 0
- Radical
- 1714
- 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
- 30
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=53A000223
- Triangle of values of 2-d recurrence.at n=67A001404
- Coordination sequence T4 for Zeolite Code MFI.at n=37A008167
- Theta series of direct sum of f.c.c. and b.c.c. lattices.at n=48A008664
- Coordination sequence T2 for Zeolite Code -PAR.at n=42A009856
- Coordination sequence T4 for Zeolite Code VNI.at n=36A009910
- Coordination sequence T3 for Zeolite Code ZON.at n=41A009921
- Phi(n) + 5 | sigma(n + 5).at n=37A015784
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=15A015993
- Numbers k such that Fibonacci(k) == -3 (mod k).at n=44A023164
- Clog sequence in base 2. Right to left concatenation of n,int(log_2(n)),int(log_2(int(log_2(n)))),... in base 2.at n=35A028423
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 4 (mod 5).at n=53A035589
- Coordination sequence T1 for Zeolite Code SFF.at n=39A038437
- Numbers whose base-15 representation has exactly 4 runs.at n=35A043671
- Numbers k such that the string 2,8 occurs in the base 9 representation of k but not of k-1.at n=47A044277
- Numbers n such that string 2,8 occurs in the base 10 representation of n but not of n-1.at n=38A044360
- Numbers n such that string 2,8 occurs in the base 10 representation of n but not of n+1.at n=38A044741
- Numbers n such that 227*2^n-1 is prime.at n=16A050865
- Truncated triangular pyramid numbers: a(n) = Sum_{k=4..n} (k*(k+1)/2 - 9).at n=23A051937
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=25A057547