3084
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
- 12
- Divisor Sum
- 7224
- Proper Divisor Sum (Aliquot Sum)
- 4140
- 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
- 1024
- Möbius Function
- 0
- Radical
- 1542
- Omega Function (Ω)
- 4
- 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
- 35
- 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
- Double-bitters: only even length runs in binary expansion.at n=34A001196
- Numbers that are the sum of 9 positive 7th powers.at n=17A003376
- a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1.at n=31A003520
- 5th-order maximal independent sets in cycle graph.at n=45A007388
- Coordination sequence T2 for Zeolite Code JBW.at n=37A008122
- Coordination sequence T1 for Zeolite Code GIS.at n=41A008266
- Coordination sequence T1 for Zeolite Code -WEN.at n=40A009862
- Expansion of 1/(1 -x^5 -x^6 -x^7 - ...).at n=36A017899
- Number of lines through exactly 5 points of an n X n grid of points.at n=32A018812
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=20A020379
- Fibonacci sequence beginning 2, 12.at n=13A022368
- Sequence A025513 divided by 2.at n=38A025514
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=33A044416
- Numbers n such that string 8,4 occurs in the base 10 representation of n but not of n+1.at n=33A044797
- Numbers whose base-4 representation contains exactly four 0's and no 1's.at n=15A045033
- Numbers whose base-4 representation contains exactly four 0's and no 2's.at n=15A045057
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=1A045083
- Normalized extreme values for "3x+1" trees of depth n.at n=25A045476
- Partial sums of A000337(n+4), n >= 0.at n=7A045618
- Becomes prime after exactly 6 iterations of f(x) = sum of prime factors of x.at n=26A047825