2443
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2800
- Proper Divisor Sum (Aliquot Sum)
- 357
- 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
- 2088
- Möbius Function
- 1
- Radical
- 2443
- Omega Function (Ω)
- 2
- 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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=41A000601
- Numbers that are the sum of 7 positive 6th powers.at n=25A003363
- Numbers that are the sum of 3 positive 7th powers.at n=6A003370
- Numbers that are the sum of at most 3 positive 7th powers.at n=15A004865
- Numbers that are the sum of at most 4 positive 7th powers.at n=22A004866
- Numbers that are the sum of at most 5 positive 7th powers.at n=30A004867
- Numbers that are the sum of at most 6 positive 7th powers.at n=39A004868
- Numbers that are the sum of at most 7 positive 7th powers.at n=49A004869
- Coordination sequence T2 for Zeolite Code LTL.at n=36A008139
- Positive integers n such that 2^n == 2^7 (mod n).at n=55A015927
- Coordination sequence T1 for Zeolite Code CZP.at n=32A019456
- a(n) = n*(25*n - 1)/2.at n=14A022282
- 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=19A023870
- a(n) = floor( a(n-1)/(Pi - 3) ) with n>0, a(0)=1.at n=4A024582
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (primes).at n=18A024867
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 7.at n=33A031410
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=31A032988
- Number of partitions of n into parts not of the form 23k, 23k+8 or 23k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=26A035996
- Positive numbers having the same set of digits in base 5 and base 10.at n=25A037433
- Coordination sequence T11 for Zeolite Code STT.at n=33A038429