3580
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 3980
- 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
- 1424
- Möbius Function
- 0
- Radical
- 1790
- 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
- 100
- 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
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=28A000837
- a(n) is the number of c-nets with n+1 vertices and 2n+1 edges, n >= 1.at n=6A001507
- Number of 3-edge-colored trivalent graphs with 2n nodes.at n=6A002830
- Coordination sequence T4 for Zeolite Code MTT.at n=37A008192
- Coordination sequence T3 for Zeolite Code STI.at n=41A008236
- Sequence satisfies T^2(a)=a, where T is defined below.at n=45A027594
- Expansion of phi(x) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.at n=22A029552
- Coordination sequence T1 for Zeolite Code AWO.at n=41A038406
- Numbers whose base-7 representation contains exactly three 3's.at n=30A043407
- Numbers n such that string 8,0 occurs in the base 10 representation of n but not of n-1.at n=38A044412
- Numbers n such that string 8,0 occurs in the base 10 representation of n but not of n+1.at n=38A044793
- Numbers whose base-4 representation contains exactly one 0 and four 3's.at n=25A045070
- Numbers whose base-4 representation contains exactly one 1 and four 3's.at n=30A045118
- Numbers whose base-4 representation contains no 2's and exactly four 3's.at n=34A045137
- Row sums of A053207.at n=10A053208
- McKay-Thompson series of class 22a for Monster.at n=19A058569
- The array of A059578 read by antidiagonals in the 'up' direction.at n=26A059579
- At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage.at n=19A064412
- Permutation of N induced by rotating the node 3 left in the infinite planar binary tree shown at A065658.at n=29A065665
- Enumeration of fractal 321 avoiders.at n=7A082631