8403
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11208
- Proper Divisor Sum (Aliquot Sum)
- 2805
- 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
- 5600
- Möbius Function
- 1
- Radical
- 8403
- 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
- 65
- 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
- Number of free subsets of multiplicative group of GF(7^n).at n=4A007233
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=39A027419
- 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 91.at n=9A031589
- Numbers whose set of base-7 digits is {3,4}.at n=30A032831
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=43A033681
- Number of 5-ary rooted trees with n nodes and height exactly 4.at n=18A036635
- Values of A038005 ending in 3.at n=5A038013
- Numbers that are repdigits in base 7.at n=27A048332
- Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 6 and (n+7) mod 9 <> 1.at n=6A096025
- The first 10 digits of the fifth root of n contain the digits 0-9.at n=5A119520
- a(n) = (7^n - 1)/2.at n=5A120741
- Numbers of the form x^5 + 10*x^3*y^2 + 5*x*y^4 (where x,y are integers).at n=17A135794
- A sevens sequence: a(n) = (7^n - 1)/(2^(4 - 3*(n mod 2))).at n=5A152418
- a(n) = 9*n^2 - 8*n + 2.at n=31A154254
- a(n) = ((2*n+1)^5+(-1)^n)/2.at n=3A175111
- Number of compositions of odd positive integers into 5 parts <= n.at n=6A191902
- Triangle T(n,k) of orders of degree-n irreducible polynomials over GF(7) listed in ascending order.at n=46A212486
- Number of idempotent 3X3 -n..n matrices of rank 2.at n=7A223452
- Number of ordered triples (i,j,k) with |i|,|j|,|k|,|i*j*k| <= n and gcd(i,j,k) <= 1.at n=29A226357
- G.f.: 1/G(0) where G(k) = 1 - q^(k+1) / (1 - q^(k+2)/G(k+1) ).at n=17A227309