6143
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6144
- 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
- 6142
- Möbius Function
- -1
- Radical
- 6143
- 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
- 155
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 801
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- A nonlinear recurrence.at n=36A003073
- Class 1+ primes: primes of the form 2^i*3^j - 1 with i, j >= 0.at n=22A005105
- Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex and rightmost top vertex have the same x-coordinate.at n=5A005770
- a(n) = (n+3)*2^n - 1.at n=10A006589
- Primes of form 3*2^n - 1.at n=7A007505
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=36A020391
- 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 77.at n=14A031575
- Decimal part of a(n)^(1/11) starts with n (11th powers excluded).at n=21A034066
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/11) starts with n.at n=21A034076
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 5).at n=38A035554
- Sums of 12 distinct powers of 2.at n=1A038463
- Numbers having three 7's in base 8.at n=31A043451
- Primes with first digit 6.at n=35A045712
- Primes of the form m*2^phi(m)-1 with phi(m) the Euler function, in order of increasing m.at n=9A046153
- Sum of digits of prime p is substring of p.at n=44A052019
- a(0) = 1; a(n) = 3*2^n - 1, for n > 0.at n=11A052940
- a(2n) = 2*2^n - 1, a(2n+1) = 3*2^n - 1.at n=23A052955
- a(0) = 0; for n > 0, a(n) = 3*2^(n-1) - 1.at n=12A055010
- Primes p such that x^37 = 2 has no solution mod p.at n=20A059223
- Duplicate of A055010.at n=12A060153