6888
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 13272
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 0
- Radical
- 1722
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 106
- 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
- High temperature series for spin-1/2 Ising surface susceptibility on b.c.c. lattice.at n=3A003492
- Expansion of tan(sinh(x)/cos(x)).at n=3A009688
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=42A011892
- arcsinh(tanh(x)*sin(x))=2/2!*x^2-12/4!*x^4+22/6!*x^6+6888/8!*x^8...at n=4A012664
- Powers of fourth root of 2 rounded down.at n=51A018048
- Powers of fourth root of 8 rounded down.at n=17A018066
- [ exp(5/16)*n! ].at n=6A030905
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=41A033996
- Smallest positive number that needs more lines when shown on a 7-segment display (digital clock) than any previous term.at n=22A038619
- Numbers whose square contains the same digit more than 2/3 of the time and does not end in 0.at n=6A039820
- Denominators of continued fraction convergents to sqrt(572).at n=7A042097
- Numbers having three 8's in base 10.at n=6A043523
- a(n)^2 is the smallest square containing exactly n 4's.at n=5A048349
- Starting from generation 6 add previous and next term yielding generation 7.at n=27A048453
- Mean divisor of n differs by <= 1 from mean divisor of all numbers from 1 to n-1.at n=16A049010
- Numbers k such that k^2 contains only digits {4,5,7}.at n=2A053950
- Numbers k such that k | sigma_5(k).at n=39A055709
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=35A058229
- Number of conjugacy classes in the group GL_2(K) when K is a finite field with q = p^m for a prime p and m >= 1.at n=32A060615
- Numbers k such that sigma(x) = k has exactly 6 solutions.at n=31A060662