3002
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4800
- Proper Divisor Sum (Aliquot Sum)
- 1798
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1404
- Möbius Function
- -1
- Radical
- 3002
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Fibonacci numbers written in base 5.at n=14A004688
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=10A005903
- Euler characteristics of polytopes.at n=14A006482
- Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.at n=38A008013
- Coordination sequence T4 for Zeolite Code TON.at n=34A008244
- a(n) = n*(2*n + 3).at n=38A014106
- a(n) = [ n/{n*e} ], {x} := x - [ x ].at n=38A024572
- n written in fractional base 6/3.at n=26A024636
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A014306, t = (primes).at n=47A024696
- Coordination sequence T7 for Zeolite Code MWW.at n=36A024992
- Number of partitions of n into an odd number of parts, the least being 5; also, a(n+5) = number of partitions of n into an even number of parts, each >=5.at n=66A027191
- a(n) = 2*n*(4*n + 3).at n=19A033587
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+9 or 24k-9. Also number of partitions in which no odd part is repeated, with at most 4 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=39A036033
- Number of self-avoiding walks of length n from origin in strip Z X {0,1}.at n=14A038577
- Denominators of continued fraction convergents to sqrt(481).at n=10A041919
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n-1.at n=31A044334
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n+1.at n=31A044715
- Numbers whose base-4 representation contains exactly four 2's and two 3's.at n=8A045155
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n-1)/2.at n=14A047171
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n-2)/2.at n=13A047182