6443
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 397
- 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
- 6048
- Möbius Function
- 1
- Radical
- 6443
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- Fibonacci sequence beginning 5, 14.at n=14A022139
- 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 79.at n=21A031577
- Sum of reciprocals of digits = 1.at n=37A037268
- Denominators of continued fraction convergents to sqrt(497).at n=7A041949
- Numbers k such that the digits of k^3 occur with the same frequency.at n=52A052047
- Numbers k such that k^3 is a cube whose digits occur with an equal minimum frequency of 2.at n=11A052051
- Harmonic mean of digits is 4.at n=39A062182
- Number of ways writing 2^n as a sum of two nonprime numbers.at n=13A062306
- Edge length of largest square dissectable into up to n squares in Mrs. Perkins's quilt problem.at n=32A089047
- Odd numbers n such that there exists a solution to lcm(s,z-s) = n, lcm(t,z-t) = n-2 and 0 < s+t < z < n.at n=27A108157
- Semiprimes which are divisible by the sum of their digits.at n=42A118693
- Expansion of (1 -5*x +5*x^2)/((1 -2*x)*(1 -4*x +x^2)).at n=9A123020
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 1), (0, -1), (0, 1), (1, -1), (1, 1)}.at n=8A151459
- Numbers n such that the digits of sigma(n) are exactly the same (albeit in different order) as the digits of phi(n), in base 10.at n=12A175795
- Number of (n+2) X 6 0..2 matrices with each 3 X 3 subblock idempotent.at n=10A224602
- Number of nX4 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.at n=2A232019
- T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.at n=17A232023
- Number of 3Xn 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.at n=3A232025
- a(n)*Pi is the total length of irregular spiral (center points: 1, 2, 3, 4) after n rotations.at n=56A235088
- Number of compositions of n with exactly seven occurrences of the largest part.at n=15A243742