6573
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
- 8
- Divisor Sum
- 10048
- Proper Divisor Sum (Aliquot Sum)
- 3475
- 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
- 3744
- Möbius Function
- -1
- Radical
- 6573
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- no
- Odd
- yes
Appears in sequences
- Number of walks of length n between two vertices on an icosahedron at distance 1.at n=6A030517
- 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 54.at n=19A031552
- Lucky numbers that are decimal concatenations of n with n + 8.at n=1A032658
- Multiplicity of highest weight (or singular) vectors associated with character chi_25 of Monster module.at n=37A034413
- Odd numbers with only palindromic prime factors whose sum is palindromic (counted with multiplicity).at n=21A046356
- Numbers of the form p*q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385).at n=28A046405
- Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=17A046961
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=28A046963
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 2.at n=46A051967
- Values of n for which the decimal number 10...030...01 is an n-digit prime.at n=16A100028
- Numbers whose square is the concatenation of two numbers k and k+9.at n=5A115441
- Partial sums of partial sums of PrimePi(k).at n=45A137441
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, -1, 0), (1, 1, -1), (1, 1, 1)}.at n=7A149746
- Partial sums of A138202.at n=14A164940
- Partial sums of A138202.at n=15A164940
- Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^4 equal to 7*n^4.at n=35A184851
- Numbers 1 through 10000 sorted lexicographically in ternary representation.at n=25A190128
- Numbers of form D^2 + 4d, with D odd, d divides D, and 1 < d < D.at n=39A237604
- a(n) = 7*n^2 - 5*n + 1.at n=31A239449
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 598", based on the 5-celled von Neumann neighborhood.at n=28A273151