3008
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 6096
- Proper Divisor Sum (Aliquot Sum)
- 3088
- 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
- 1472
- Möbius Function
- 0
- Radical
- 94
- Omega Function (Ω)
- 7
- 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
- 110
- 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
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=32A000567
- Number of black-rooted red-black trees with n internal nodes.at n=13A001137
- Dowling numbers: e.g.f.: exp(x + (exp(b*x) - 1)/b) with b=4.at n=5A003576
- Number of symmetric plane partitions of n.at n=29A005987
- Number of loopless rooted planar maps with 5 faces and n vertices and no isthmuses.at n=3A006418
- Left diagonal of partition triangle A047812.at n=25A007042
- Expansion of theta_3 / theta_4.at n=14A007096
- Coordination sequence T1 for Zeolite Code EMT.at n=45A008086
- Coordination sequence T1 for Zeolite Code TON.at n=34A008241
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=16A014642
- Expansion of (theta_3(q) / theta_4(q))^2 in powers of q.at n=7A014969
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=39A015632
- Numbers that are the sum of 4 nonzero squares in exactly 6 ways.at n=43A025362
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=20A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=22A025407
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=25A027419
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=17A028589
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=17A029719
- a(n) = (prime(n)-1)*(prime(n)-5)/12.at n=41A030006
- Numbers with 14 divisors.at n=14A030632