10875
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 7845
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5600
- Möbius Function
- 0
- Radical
- 435
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=48A000338
- Successive integers produced by Conway's PRIMEGAME.at n=23A007542
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5).at n=33A039842
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=38A039878
- McKay-Thompson series of class 45b for Monster.at n=53A058686
- Numbers n such that n!! - 2 is prime.at n=18A094144
- Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 10 ways.at n=18A097225
- Position of n! in A025487.at n=16A098718
- a(n) = n*(n-1)^3*(n^2-n-1)/2.at n=6A101384
- Number of permutations of n distinct letters (ABCD...) each of which appears 5 times and having n-2 fixed points.at n=29A123296
- 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, 1), (-1, 1, 1), (0, 0, -1), (1, 0, 1)}.at n=9A148708
- 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, 0), (-1, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=8A149984
- Successive integers produced by Conway's PRIMEGAME, starting with 3 rather than 2.at n=35A185242
- The number of triangles in an equipotential triangle divided by medians into n rows of smaller triangles.at n=10A210687
- a(n) is the number of digits in the decimal representation of the smallest power of n that contains nine consecutive identical digits.at n=1A217184
- a(n) is the number of digits in the decimal representation of the smallest power of n that contains nine consecutive identical digits.at n=25A217184
- a(n) is the number of digits in the decimal representation of the smallest power of 3 that contains n consecutive identical digits.at n=8A217186
- Numbers m such that there are precisely 7 groups of order m.at n=35A249550
- Number of (n+1) X (6+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=0A250896
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=15A250898