9573
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 3195
- 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
- 6380
- Möbius Function
- 1
- Radical
- 9573
- 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
- 73
- 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
- 11*n^2 + 11*n + 3.at n=29A006222
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=19A020431
- 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 64.at n=34A031562
- a(n) = floor((n+2)^(n+2)/n^n).at n=35A078111
- a(n) = (1/6)*(n+1)*(10*n^2 + 17*n + 12).at n=17A102296
- a(n) = a(n-1) + a(n-3) + a(n-5), with a(1..5) = 1.at n=23A109543
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=74A117807
- 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, -1, 0), (-1, 0, -1), (0, 0, 1), (1, 1, 0)}.at n=8A149980
- Unmatched value maps: number of n X 3 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 n X 3 array.at n=5A218837
- T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 nXk array.at n=33A218842
- Unmatched value maps: number of 6Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 6Xn array.at n=2A218847
- T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 nXk array.at n=33A219421
- Unchanging value maps: number of 6Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 6Xn array.at n=2A219426
- Integer radii of circles tiled by square tiles such that the ratio of uncut tiles to cut tiles is an integer and four square tiles meet at the center of the circle.at n=6A235230
- Expansion of 1/G(1) where G(k) = 1 - (q^k/(1-q^k)) / G(k+1).at n=12A238437
- Magic constants of the magic cubes 3 X 3 X 3 composed of prime numbers.at n=13A239671
- Number T(n,k) of set partitions of [n] having exactly k pairs (m,m+1) such that m+1 is in some block b and m is in block b+1; triangle T(n,k), n>=0, 0<=k<=n-floor((1+sqrt(max(0,8n-7)))/2), read by rows.at n=32A270953
- Number of set partitions of [n] having exactly three pairs (m,m+1) such that m+1 is in some block b and m is in block b+1.at n=4A270957
- Number of compositions (ordered partitions) of n into tetrahedral (or triangular pyramidal) numbers (A000292).at n=29A282582
- Least number x such that x^n has n digits equal to k. Case k = 8.at n=21A285455