4241
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4242
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4240
- Möbius Function
- -1
- Radical
- 4241
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 108
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 581
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=27A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=27A000451
- Squares written in base 6.at n=31A001741
- Squares written in base 8.at n=46A002441
- a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=20A006004
- Primes of form 3*k^2 - 3*k + 23.at n=33A007637
- Coordination sequence T1 for Zeolite Code ATS.at n=47A008038
- Expansion of sin(x)/(1-x).at n=7A009551
- Define the sequence S(a_0,a_1) by a_{n+2} is the least integer such that a_{n+2}/a_{n+1} > a_{n+1}/a_n for n >= 0. This is S(2,7).at n=6A018907
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=6A020386
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=39A023261
- n written in fractional base 6/4.at n=25A024637
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=26A025414
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=25A025415
- Primes of form x^2+62*y^2.at n=34A033240
- Primes of form x^2+65*y^2.at n=29A033241
- Primes of the form 2^k + k^2 + 1.at n=2A035325
- T(n,n-4), array T as in A038792.at n=18A038794
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=29A045031
- Coordination sequence T3 for Zeolite Code DON.at n=44A047955