6979
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7984
- Proper Divisor Sum (Aliquot Sum)
- 1005
- 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
- 5976
- Möbius Function
- 1
- Radical
- 6979
- Omega Function (Ω)
- 2
- 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
- 88
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=35A015623
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=35A015628
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=13A020415
- Composite numbers whose prime factors have no digits other than 7's and 9's.at n=10A036324
- Numerators of continued fraction convergents to sqrt(494).at n=7A041942
- Semiprimes whose prime factors, when concatenated, yield a palindrome.at n=41A046451
- Composite and every divisor (except 1) contains the digit 7.at n=34A062676
- a(n) = smallest multiple of 7 with a digit sum = n.at n=29A077493
- G.f. = continued fraction: A(x)=1/(1-x^2-x/(1-x^2-x^2/(1-x^2-x^3/(1-x^2-x^4/(...))))).at n=12A088356
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 41 for n > 0.at n=17A101143
- Triangle read by rows: number of Dyck paths of semilength n with k peaks before the first return (1<= k <n).at n=51A101974
- Triangle read by rows: number of Dyck paths of semilength n with k peaks after the first return (0 <= k < n).at n=61A101975
- a(n) = Sum_{i=1..n} (n-i+1)*phi(i).at n=40A103116
- Number of lines through at least 2 points of a 6 X n grid of points.at n=29A160846
- 7*(10^n-3).at n=2A175775
- Number of ordered quintuples of distinct pairwise coprime positive integers with largest element n.at n=30A186976
- Dispersion of A047211, (numbers >1 and congruent to 2 or 4 mod 5), by antidiagonals.at n=57A191730
- G.f. satisfies: 1 = Sum_{n>=0} (-x)^(n^2) * A(x)^(3*n+1).at n=6A193116
- Number of partitions of n such that the number of parts and the greatest part are not coprime.at n=35A200792
- Number of ordered triples (i,j,k) with i*j*k <= n and i,j,k >= 0.at n=46A226600