4351
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4600
- Proper Divisor Sum (Aliquot Sum)
- 249
- 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
- 4104
- Möbius Function
- 1
- Radical
- 4351
- 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
- 77
- 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
- a(n) = a(n-1) + 2*a(n-3) with a(0)=a(1)=1, a(2)=3.at n=16A003229
- a(n) = n^3 + n^2 - 1.at n=15A003777
- At each step, record how many 1's, 2's, etc. have been seen so far in the sequence.at n=7A006920
- Coordination sequence T1 for Zeolite Code HEU.at n=43A008116
- Coordination sequence T1 for Zeolite Code RTE.at n=45A009890
- Pseudoprimes to base 94.at n=38A020222
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=12A020401
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=30A024846
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=38A031794
- Concatenation of n-th prime number and n-th lucky number.at n=13A032603
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=29A044887
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=10A045075
- a(n)=T(n,n), array T as in A049723.at n=37A049728
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=17A055468
- When gcd( p(n), q(n) ) increases, where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=11A060745
- Centered 10-gonal numbers.at n=29A062786
- First nonprime reached when starting with the n-th prime p and iterating the map k -> 4*k+(p mod 4), or -1 if no integer is ever reached.at n=18A075523
- Expansion of 1/(1-x-2*x^3).at n=17A077949
- Floor of area of triangle with consecutive prime sides.at n=24A096377
- Number of partitions of n into parts without powers of 2.at n=55A101417