4192
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8316
- Proper Divisor Sum (Aliquot Sum)
- 4124
- 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
- 2080
- Möbius Function
- 0
- Radical
- 262
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 33
- 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
- Composite n such that phi(n) * sigma(n) is one less than a square.at n=28A015709
- Composite and even n such that phi(n) * sigma(n) is one less than a square.at n=17A015721
- a(n) = 2*a(n-1) + a(n-2) - a(n-4) - a(n-5) - a(n-6) - a(n-7).at n=9A019486
- a(n) = floor(Gamma(n+1/12)/Gamma(1/12)).at n=9A020049
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left).at n=25A029447
- 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 31.at n=22A031529
- a(n) = n * prime(n).at n=31A033286
- Second 10-gonal (or decagonal) numbers: n*(4*n+3).at n=32A033954
- Number of pairs {i,j}, i>1, j>1, such that ij < n^2.at n=37A037048
- Number of partitions satisfying cn(0,5) + cn(2,5) <= 1 and cn(0,5) + cn(3,5) <= 1.at n=42A039851
- a(n)=(s(n)+6)/10, where s(n)=n-th base 10 palindrome that starts with 4.at n=41A043083
- Numbers whose base-8 representation has exactly 5 runs.at n=21A043627
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=21A045035
- Numbers whose base-4 representation contains exactly four 0's and one 2.at n=35A045058
- Starting positions of strings of 2 6's in the decimal expansion of Pi.at n=39A050245
- Numbers k such that 6*10^k + R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=14A056717
- Numbers k such that phi(x) = k has exactly 10 solutions.at n=21A060673
- Number of cyclic subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=44A064969
- Numbers n such that binomial(2n, n) - 1 is prime.at n=28A066726
- Rounded total surface area of a regular icosahedron with edge length n.at n=22A071398