3486
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 4578
- 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
- 984
- Möbius Function
- 1
- Radical
- 3486
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 180
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Hexagonal numbers: a(n) = n*(2*n-1).at n=42A000384
- Number of partitions of 3n into n parts from the set {0, 1, ..., 6} (repetitions admissible).at n=18A001977
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=30A003318
- Binomial coefficient C(6n,n-12).at n=2A004367
- Binomial coefficient C(7n,n-10).at n=2A004378
- Coordination sequence T2 for Zeolite Code AWW.at n=42A008046
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=43A008083
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=41A008440
- Coordination sequence for MgNi2, Position Ni1.at n=15A009933
- Even triangular numbers.at n=41A014494
- a(n) = 2*n*(4*n - 1).at n=21A014635
- Numbers k such that k | 6^k + 6.at n=10A015892
- Binomial coefficients C(n,82).at n=2A017746
- Binomial coefficients C(84,n).at n=2A017800
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=28A027575
- Numbers having period-2 6-digitized sequences.at n=1A031357
- Triangular numbers (A000217) with prime indices.at n=22A034953
- Even triangular numbers with prime indices.at n=12A034955
- Position of start of first occurrence of prime(n) after the decimal point in expansion of Pi.at n=26A037024
- Numbers having three 6's in base 8.at n=15A043447