4107
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
- 6
- Divisor Sum
- 5628
- Proper Divisor Sum (Aliquot Sum)
- 1521
- 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
- 2664
- Möbius Function
- 0
- Radical
- 111
- Omega Function (Ω)
- 3
- 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
- 38
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers m such that m divides 10^m - 1.at n=12A014950
- Numbers k such that k | 11^k + 1.at n=14A015960
- a(n) = (d(n)-r(n))/5, where d = A026054 and r is the periodic sequence with fundamental period (3,3,0,0,4).at n=44A026056
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026758.at n=5A027233
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 42.at n=21A031540
- a(n) = 3*n^2.at n=37A033428
- Composite numbers whose prime factors contain no digits other than 3 and 7.at n=44A036316
- Positive numbers having the same set of digits in base 6 and base 8.at n=25A037435
- Number of primes less than 1000n.at n=38A038812
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=44A044339
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=10A044887
- Numbers whose base-4 representation contains exactly four 0's and one 1.at n=22A045034
- Numbers whose base-4 representation contains exactly four 0's and one 2.at n=23A045058
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=22A045082
- Has both a primitive and imprimitive representation as x^2 + xy + y^2.at n=30A045897
- Coordination sequence T1 for Zeolite Code AEN.at n=40A047950
- a(n)=T(n,n), array T as in A049723.at n=36A049728
- a(n) = 2^n + n - 1.at n=12A052944
- Numbers n such that A051885(p_n) is prime, where p_n=A000040(n) is the n-th prime.at n=28A055019
- Coordination sequence T1 for Zeolite Code MTF.at n=38A057304