6172
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
- 6
- Divisor Sum
- 10808
- Proper Divisor Sum (Aliquot Sum)
- 4636
- 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
- 3084
- Möbius Function
- 0
- Radical
- 3086
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 111
- 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
- a(n) = F(n) + L(n) + n, where F(n) (A000045) and L(n) (A000204) are Fibonacci and Lucas numbers respectively.at n=17A013915
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=6A020439
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=16A031812
- a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6.at n=39A043085
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049723.at n=31A049725
- Numbers k such that x^k + x^3 + 1 is irreducible over GF(2).at n=30A057461
- Numbers n such that x^n + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=23A057496
- a(n) = (11*n^2 - 11*n + 2)/2.at n=33A069125
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives y's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=19A075769
- Numbers n such that (j^k + k^j) == 0 (mod k+j), j=4 case.at n=15A114979
- Number of partitions of n having no doubletons. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] of 18 has two doubletons, shown between parentheses).at n=35A116645
- Numbers k such that k and k^2 together contain all ten digits.at n=16A122477
- Indices of squares (of primes) in the semiprimes.at n=36A128301
- Number of compositions of n with parts in N which avoid the pattern 221.at n=14A134044
- a(0) = 2, a(1) = 2, and for n > 1, a(n) = a(n-1) + a((a(n-1) - 1) mod n).at n=26A145465
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, 1), (0, 1, 0), (1, -1, 0)}.at n=8A149866
- Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with increasing entries (0<=k<=n).at n=49A181304
- Number of 7-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=6A187160
- Binomial self-convolution of sequence A209305.at n=5A209307
- Number of (w,x,y,z) with all terms in {1,...,n} and w >= harmonic mean of {x,y,z}.at n=10A212107