6854
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 3946
- 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
- 3256
- Möbius Function
- -1
- Radical
- 6854
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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) = floor( n*(n-1)*(n-2)/8 ).at n=39A011890
- Fibonacci sequence beginning 2, 10.at n=15A022367
- Expansion of 1/((1-2x)(1-3x)(1-9x)(1-12x)).at n=3A025954
- a(n) = Sum_{k=0..2*n} (k+1)*T(n, 2*n-k), T given by A027960.at n=8A027982
- Dirichlet convolution of Fibonacci numbers with phi(n).at n=19A034748
- Sets of 4 consecutive numbers with equal number of divisors.at n=17A039665
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=18A045213
- Number of forests of rooted trees with n nodes on a circle without crossing edges.at n=6A054727
- McKay-Thompson series of class 9B for the Monster group.at n=25A058091
- Numbers k such that k + sigma(k) + phi(k) is a triangular number.at n=36A115906
- Number of partitions of n into parts relatively prime to 63 and not == 2 (mod 4).at n=48A119952
- a(n) = 2025*n^2 - 649*n + 52.at n=1A156853
- A sequence of triples of squarefree consecutive integers each composed of exactly three primes.at n=31A165936
- Fourth row of A166091. Positions of 7's in A166086.at n=36A166056
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=31A179140
- Number of n X 4 binary arrays without the pattern 0 1 diagonally or vertically.at n=14A188838
- Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x)=1+x^(n+1)+x^(2n).at n=9A192475
- Numbers n such that Q(sqrt(n)) has class number 10.at n=41A218042
- Integer lengths of the Mills primes A051254.at n=9A224845
- Number of nondecreasing -3..3 vectors of length n whose dot product with some nonincreasing -3..3 vector equals n.at n=10A226394