3408
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 8928
- Proper Divisor Sum (Aliquot Sum)
- 5520
- 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
- 1120
- Möbius Function
- 0
- Radical
- 426
- 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
- 17
- 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
- Coordination sequence T7 for Zeolite Code MFS.at n=36A008179
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (primes).at n=16A024604
- When squared gives number composed of digits {1,4,6}.at n=15A027677
- Expansion of (theta_3(z)*theta_3(13z)+theta_2(z)*theta_2(13z))^4.at n=34A028620
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=24A033579
- Coordination sequence T1 for Zeolite Code SBE.at n=47A033604
- Number of flat partitions of n: partitions {a_i} with each |a_i - a_{i-1}| <= 1.at n=48A034296
- Gozinta numbers: possible number of gozinta chains for some positive integer.at n=47A034776
- Numbers whose base-15 representation has exactly 4 runs.at n=16A043671
- Numbers n such that string 0,8 occurs in the base 10 representation of n but not of n-1.at n=36A044340
- Numbers n such that string 0,8 occurs in the base 10 representation of n but not of n+1.at n=36A044721
- Number of ordered factorizations indexed by prime signatures: A074206(A025487).at n=46A050324
- Numbers k such that k | sigma_7(k).at n=26A055711
- Sum of a(n) terms of 1/k^(4/5) first exceeds n.at n=21A056180
- McKay-Thompson series of class 36D for the Monster simple group.at n=34A058647
- Numbers k such that phi(x) = k has exactly 8 solutions.at n=37A060671
- a(n) = n^3 + (n + 1)^4 + (n + 2)^5.at n=3A061223
- Numbers which have more different digits than their squares.at n=29A061277
- Numbers with exactly 3 odd integers in their Collatz (or 3x+1) trajectory.at n=48A062053
- Numbers m such that 6*m+1 is a perfect square.at n=47A062717