8378
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 4582
- 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
- 4060
- Möbius Function
- -1
- Radical
- 8378
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Numbers k such that the decimal part of k^(1/10) starts with a 'nine digits' anagram.at n=3A034285
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5).at n=43A035565
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=31A045051
- Revert transform of ((x - 1)(3x - 1))/(1 - 3x + x^3).at n=8A049126
- a(n)=T(n,n+3), array T as in A049600.at n=6A049609
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=5/4.at n=41A080198
- Triangle read by rows, in which n-th row contains smallest set of n consecutive numbers with distinct prime signatures.at n=48A083788
- Triangle read by rows, generated from (..., 5, 3, 1).at n=50A112351
- a(n) = Sum_{k=0..n} binomial(n,k)*binomial(2*n+k-1,k).at n=5A156894
- a(n) = 441*n - 1.at n=18A158319
- Positions of zeros in A165582.at n=32A165583
- A185128(n) is the a(n)-th triangular number.at n=44A185223
- Number of free poly-IH14-tiles (holes allowed) with n cells.at n=7A197554
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208660; see the Formula section.at n=49A208904
- Number of free poly-IH16-tiles (holes allowed) with n cells.at n=7A213951
- a(n) = n^3 - 2*n^2 - 1.at n=20A214731
- The number of 2 X 2 symmetric positive definite matrices whose entries are integers x,y,z satisfying x^2 + y^2 + z^2 <= n^2.at n=25A219744
- Number of (2,1)-separable partitions of n; see Comments.at n=55A239493
- Triangle read by rows, T(n, k) = (-1)^(n-k)*binomial(n,k)*hypergeom([k - n, n + 1], k + 1, 2), for n >= 0 and 0 <= k <= n.at n=49A297898
- Expansion of Product_{k>=1} 1/(1 - x^k)^A000593(k).at n=17A301799