4142
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
- 8
- Divisor Sum
- 6600
- Proper Divisor Sum (Aliquot Sum)
- 2458
- 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
- 1944
- Möbius Function
- -1
- Radical
- 4142
- 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
- 126
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = n concatenated with n + 1.at n=40A001704
- Number of "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=21A002513
- Coordination sequence T8 for Zeolite Code PAU.at n=47A008226
- Molien series for A_7.at n=36A008630
- a(n) = n*(23*n - 1)/2.at n=19A022280
- Product of n with 666 is palindromic.at n=35A030094
- Pair up the numbers.at n=20A030655
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)).at n=48A036819
- Denominators of continued fraction convergents to sqrt(424).at n=10A041807
- a(n)=(s(n)+6)/10, where s(n)=n-th base 10 palindrome that starts with 4.at n=36A043083
- Numbers whose base-16 representation has exactly 4 runs.at n=28A043677
- Starting from generation 7 add previous and next term yielding generation 8.at n=10A048454
- Concatenate prevprime(n) and n.at n=39A049851
- First n digits after the decimal point in the n-th root of n.at n=2A061643
- Harmonic mean of digits is 2.at n=42A062180
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 18.at n=20A066697
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=20A068517
- a(n) = floor(T(n+1)!*T(n-1)!/(T(n)!)^2), where T(n) = n(n+1)/2 = the n-th triangular number.at n=32A077539
- a(n) = 101*n + 1.at n=41A078787
- Numbers n such that round(prime(n)/n) < round(prime(n-1)/(n-1)).at n=5A079417