4030
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 4034
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1440
- Möbius Function
- 1
- Radical
- 4030
- 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
- yes
- 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
- 95
- 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
- Number of sublattices of index n in generic 3-dimensional lattice.at n=44A001001
- Primitive weird numbers: weird numbers with no proper weird divisors.at n=2A002975
- a(n) = n*(n+4)*(n+5)/6.at n=26A005586
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=2A006037
- Primitive nondeficient numbers.at n=43A006039
- Numbers k such that k^64 + 1 is prime.at n=41A006316
- 'Eban' numbers (the letter 'e' is banned!).at n=43A006933
- Coordination sequence T1 for Zeolite Code LIO.at n=44A008129
- Coordination sequence T4 for Zeolite Code RSN.at n=41A009888
- Coordination sequence T1 for Zeolite Code VET.at n=38A009902
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=51A011913
- Even pentagonal numbers.at n=26A014633
- a(n) = 2^n - n*(n-1)/2.at n=12A014844
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T6 atom.at n=11A019194
- Expansion of g.f. 1/((1-6*x)*(1-7*x)*(1-9*x)).at n=3A020571
- Expansion of Product_{m>=1} (1+m*q^m)^26.at n=3A022654
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A008578 ({1} U primes).at n=23A023862
- a(n) = 1*prime(n) + 2*prime(n-1) + ... + k*prime(n+1-k), where k=floor((n+1)/2) and prime(n) is the n-th prime.at n=22A023870
- Number of plane regions after drawing (in general position) a convex n-gon and all its diagonals.at n=17A027927
- Average theta series of odd unimodular lattices of dimension 13 (multiplied by 691).at n=1A029814