6179
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
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6384
- Proper Divisor Sum (Aliquot Sum)
- 205
- 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
- 6179
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- Weighted count of partitions with odd parts.at n=39A005896
- Expansion of 1/((1-x)^2*Product_{k>=1} (1-x^k)).at n=18A014153
- Numbers k such that sigma(k) = sigma(k+12).at n=32A015882
- a(n) = n*(9*n + 1)/2.at n=37A022267
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A008578 ({1} U primes).at n=26A023862
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=4A031785
- Composite and every divisor (except 1) contains the digit 7.at n=29A062676
- Sum of squares of digits of n is equal to the largest prime factor of n.at n=19A074302
- a(1) = 1; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=45A074336
- Bisection of A088567.at n=49A088575
- Greatest multiple of the n-th prime in A098962.at n=11A099620
- Least positive integer that can be represented as the sum of a prime and a triangular number in exactly n ways.at n=41A101182
- Number of positive integers <= 10^n that are divisible by no prime exceeding 17.at n=6A108275
- Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^4 equal to 7*n^4.at n=36A184851
- Solutions n of equation A064380(n)-A000010(n)=4 in integers n>=2.at n=46A186780
- Smallest k>=0 such that (2^n-k)*2^n-1 and (2^n-k)*2^n+1 are a twin prime pair; or -1 if no such k exists.at n=46A205322
- Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 7.at n=5A245752
- Non-palindromic balanced numbers in base 16.at n=15A256080
- Numbers where A262520 takes a negative value; numbers n for which A155043(2n) > A155043(2n + 1).at n=57A262521
- Composite numbers n such that E(n+1)+1 is divisible by n, where E(n) is the n-th Euler number (A122045).at n=11A287934