8028
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 20384
- Proper Divisor Sum (Aliquot Sum)
- 12356
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2664
- Möbius Function
- 0
- Radical
- 1338
- Omega Function (Ω)
- 5
- 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
- 44
- 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
- Generalized Stirling numbers, [n+2,3]_2: a(n) = n! * Sum_{k=0..n-1} (k+1)/(n-k).at n=6A001705
- Sums of distinct powers of 6.at n=44A033043
- Positive numbers having the same set of digits in base 2 and base 6.at n=40A037411
- Sums of 3 distinct powers of 6.at n=15A038479
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=27A038664
- a(n) = A033001(n)/4.at n=38A043307
- McKay-Thompson series of class 12F for Monster.at n=11A058484
- Triangle A(n,m) of numbers of n-element ordered T_0-antichains on an unlabeled m-set or numbers of T_1-hypergraphs on n labeled nodes with m (not necessarily empty) distinct hyperedges (m=0,1,...,2^n).at n=27A059048
- Analog of A059226 in which left diagonal is all 1's.at n=27A059274
- Transform of A059226 applied to sequence 1, 1, 1, 1, 1, 1, 1, ...at n=6A059275
- A triangle of generalized Stirling numbers: sum of consecutive terms in the harmonic sequence multiplied by the product of their denominators.at n=29A067176
- Sum_{k|n} a(k)/k! = Sum_{j=1 to n} 1/j, sum on left is over positive divisors k of n.at n=6A067857
- Triangle of labeled rooted trees according to the number of increasing edges.at n=26A067948
- Triangle of labeled rooted trees according to the number of increasing edges.at n=22A067948
- Numbers k such that phi(k) divides sigma(k+1) - sigma(k).at n=31A072611
- Generalized Stirling numbers of the first kind.at n=7A081050
- Increasing peaks in the prime gap sequence A038664.at n=5A086979
- Triangle read by rows: for 0 <= k < n, a(n, k) is the sum of the products of all subsets of {n-k, n-k+1, ..., n} with k members.at n=26A093905
- Numbers k such that 7*10^k + 6*R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=17A103063
- Expansion of e.g.f. (1 + y)^(1 + x).at n=47A105793