5578
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8370
- Proper Divisor Sum (Aliquot Sum)
- 2792
- 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
- 2788
- Möbius Function
- 1
- Radical
- 5578
- 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
- 129
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T3 for Zeolite Code DAC.at n=47A008069
- Coordination sequence for FeS2-Marcasite, S position.at n=39A009954
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between pairs.at n=31A015636
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=28A020354
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=34A024846
- Number of partitions of n that do not contain 4 as a part.at n=33A027338
- Numbers having period-6 5-digitized sequences.at n=38A031190
- Numbers having three 7's in base 9.at n=12A043483
- Number of collinear triples in a 3 X n rectangular grid.at n=23A057566
- Consider sequence of fractions A066657/A066658 produced by ratios of terms in A066720; let m = smallest integer such that all fractions 1/n, 2/n, ..., (n-1)/n have appeared when we reach A066720(m) = k; sequence gives values of m; set a(n) = -1 if some fraction i/n never appears.at n=14A066849
- Octo numbers (a polygonal sequence): a(n) = 5*n^2 - 6*n + 2 = (n-1)^2 + (2*n-1)^2.at n=33A079273
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k peaks at even height.at n=33A097892
- Indices of primes in sequence defined by A(0) = 31, A(n) = 10*A(n-1) + 81 for n > 0.at n=9A101848
- Number of inequivalent binary sequences of length n, where two sequences are said to be equivalent if they have the same set of phrases in their Ziv-Lempel encodings (the phrases can appear in a different order in the two sequences).at n=22A106182
- Prime(n)^2*prime(n+1)...*prime(a(n)) is the least product of consecutive primes which is abundant. Note that only the first term is squared.at n=48A126105
- Numbers such that all subsets of {prime(a(1)), ..., prime(a(n))} have a different sum.at n=15A138856
- a(n) = 169n + 1.at n=32A158221
- Partial sums of A048995.at n=26A174514
- Triangle read by rows: T(n,k) = Sum_{c in C(n,k)} lcm(c) where C(n,k) is the set of all k-subsets of {1,2,...,n}.at n=48A181853
- Number of (w,x,y,z) with all terms in {1,...,n} and w < harmonic mean of {x,y,z}.at n=11A212106