4023
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6000
- Proper Divisor Sum (Aliquot Sum)
- 1977
- 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
- 2664
- Möbius Function
- 0
- Radical
- 447
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 43
- 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
- no
- Odd
- yes
Appears in sequences
- Narayana's cows sequence: a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) + a(n-3).at n=23A000930
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=50A001973
- Coordination sequence T3 for Zeolite Code MOR.at n=41A008184
- Coordination sequence T1 for Coesite.at n=33A008267
- Numbers n such that phi(n) * sigma(n) + 4 is a perfect square.at n=43A015727
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=34A020441
- a(n) = n*(11*n+1)/2.at n=27A022269
- Duplicate of A022269.at n=26A026817
- a(n) = A027052(n, 2n-6).at n=8A027062
- Number of ternary codes of length 3 with n words.at n=9A034215
- Number of ternary codes of length 3 with n words.at n=18A034215
- Number of ternary codes (not necessarily linear) of length n with 9 words.at n=2A034229
- Number of binary [ n,3 ] codes.at n=17A034357
- Coordination sequence T11 for Zeolite Code STT.at n=42A038429
- Number of partitions satisfying cn(2,5) <= 1 and cn(3,5) <= 1.at n=35A039855
- Denominators of continued fraction convergents to sqrt(643).at n=7A042235
- Base-8 palindromes that start with 7.at n=16A043027
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=12A045940
- Pisot sequence P(4,6).at n=18A048625
- Pisot sequence P(6,9).at n=17A048626