8373
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11168
- Proper Divisor Sum (Aliquot Sum)
- 2795
- 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
- 5580
- Möbius Function
- 1
- Radical
- 8373
- 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
- 127
- 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
- Coefficients of modular function g_6(tau).at n=4A005759
- Three-fold convolution of primes with themselves.at n=8A014343
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 60.at n=34A031558
- Becomes prime after n iterations of f(x) = sigma(x)-1 (least inverse of A039655).at n=17A039656
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=23A039664
- a(n) = 4*n^2 - 10*n + 7.at n=46A054554
- a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.at n=25A057671
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=25A073775
- a(1)=4, then least semiprime > a(n-1) such that when all in the sequence are concatenated together they form a prime.at n=28A085703
- Number of polyominoes consisting of 5 regular unit n-gons.at n=41A103471
- G.f.: Product_{j>=1} Product_{i>=1} (1 + x^(i*j)).at n=24A107742
- Record values in A062039.at n=47A123643
- Semiprimes (p+4) associated with last prime in A137626.at n=6A137628
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,1 5,1 polyhexes in any orientation on a planar nXnXn triangular grid.at n=5A155282
- a(n) is the smallest number which has in its English name the letter "e" in the n-th position beginning the count from the end, or -1 if no such number exists.at n=36A173203
- Numbers of the form k^2+k+1 that are the product of two distinct primes.at n=40A176069
- Number of nondecreasing arrangements of n numbers x(i) in -(n+2)..(n+2) with the sum of sign(x(i))*x(i)^2 zero.at n=7A187997
- T(n,k)=Number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*x(i)^2 zero.at n=62A188002
- Number of nondecreasing arrangements of 8 numbers x(i) in -(n+6)..(n+6) with the sum of sign(x(i))*x(i)^2 zero.at n=3A188008
- Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments.at n=9A208181