3010
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 3326
- 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
- 1008
- Möbius Function
- 1
- Radical
- 3010
- 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
- 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
- 40
- 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
- a(n) is the number of partitions of n (the partition numbers).at n=27A000041
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=35A000566
- Squares written in base 4.at n=14A001739
- The coding-theoretic function A(n,4,4).at n=39A001843
- a(n) = 10000*log_10(n) rounded down.at n=1A004228
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=1A004229
- Primitive pseudoperfect numbers.at n=44A006036
- Coordination sequence T1 for Zeolite Code AFG.at n=38A008012
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=40A008093
- Coordination sequence T1 for Zeolite Code LOS.at n=38A008132
- Coordination sequence for MgZn2, Position Zn1.at n=14A009937
- Even heptagonal numbers (A000566).at n=17A014640
- Expansion of 1/((1-x)(1-4x)(1-6x)(1-9x)).at n=3A021824
- a(n) = n*(15*n + 1)/2.at n=20A022273
- Numbers with exactly 6 1's in their ternary expansion.at n=27A023697
- Base 6 expansion uses each positive digit just once.at n=28A023744
- a(n) = floor((3rd elementary symmetric function of 2,3,...,n+3)/(2+3+...+n+3)).at n=13A024178
- Number of 7's in all partitions of n.at n=32A024791
- T(2n,n-3), T given by A026758.at n=4A026871
- Shifts left 2 places under "EFK" (unordered, size, unlabeled) transform.at n=18A032307