4350
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 6810
- 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
- 1120
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 77
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Zeolite Code AWW.at n=47A008045
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=46A008440
- Coordination sequence T2 for Zeolite Code RTE.at n=45A009891
- dot_product(n,n-1,...2,1)*(7,8,...,n,1,2,3,4,5,6).at n=18A026066
- Every run of digits of n in base 5 has length 2.at n=32A033003
- Number of partitions of n into parts not of the form 25k, 25k+5 or 25k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=30A036004
- Numerators of continued fraction convergents to sqrt(508).at n=5A041970
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=22A057683
- Prime(n^2) +/- n are primes.at n=14A064495
- a(n) = sum of modular offsets: mod[n+c,b]-(mod[n,b]+c) for c<=b<=n.at n=33A066809
- a(n) = 60*n^2 + 180*n + 150.at n=6A069477
- Last digit of n, phi(n) and sigma(n) is 0 in base 10.at n=32A072604
- Least multiple of n == -1 (mod prime(n)).at n=49A090939
- a(n) = sigma(n,2) + sigma(n+1,2).at n=41A092411
- If p(x) is the x-th prime, then the n-th set of 3 consecutive sexy prime pairs starts at p(a(n)).at n=41A095962
- If p(x) is the x-th prime, then the n-th set of 4 consecutive sexy prime pairs starts at p(a(n)).at n=8A095963
- Initial values for the iteration of the function f(x) = A063919(x) such that the iteration ends in a 5-cycle, i.e., in A097024.at n=31A097035
- Third differences of fifth powers (A000584).at n=9A101096
- Numbers k such that 2*prime(k)+1, 2*prime(k+1)+1 and 2*prime(k+2)-1 are also consecutive primes.at n=4A103851
- Numbers n such that 2*P(n)+1, 2*P(n+1)+1, and 2*P(n+2)-1 are also consecutive primes with P(n+1)=P(n)+6 and P(n+2)=P(n+1)+2 with P(i)=i-th prime.at n=3A103852