4301
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5184
- Proper Divisor Sum (Aliquot Sum)
- 883
- 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
- 3520
- Möbius Function
- -1
- Radical
- 4301
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 25
- 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
- no
- Odd
- yes
Appears in sequences
- Squares written in base 5.at n=24A001740
- Coordination sequence T8 for Zeolite Code TER.at n=44A016440
- Pseudoprimes to base 47.at n=37A020175
- a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026769.at n=10A026778
- a(n) = (2*n-1)*(3*n-1)*(4*n-1).at n=6A033589
- Number of inequivalent binary [ n,3 ] codes of dimension <= 3 without zero columns.at n=23A034337
- a(n) = n-th sextic factorial number divided by 5.at n=3A034787
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5)).at n=40A036804
- Coordination sequence T2 for Zeolite Code AWO.at n=45A038407
- a(n) = n*(2*n+5)*(n-1)/6.at n=23A051925
- Truncated triangular pyramid numbers: a(n) = Sum_{k=9..n} (k*(k+1)/2 - 45).at n=22A051943
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(17)).at n=44A052479
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=21A054001
- Numbers n such that 6*10^n-1 is prime.at n=21A056716
- n is odd and sum of digits of n equals the numbers of divisors of n.at n=24A057532
- Numbers where k-th digit from right is either 0 or k.at n=13A063013
- Sum of decimal digits of square of divisors of n equals sum of square of digits of n.at n=32A067344
- Number of log-concave compositions (ordered partitions) of n.at n=35A069916
- Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers).at n=6A070193
- Numbers n such that (i) the largest prime factor of n is not a palindrome and (ii) the sum of the factorials of the digits of n is equal to the largest prime factor of n reversed.at n=7A074301