10302
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22032
- Proper Divisor Sum (Aliquot Sum)
- 11730
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3200
- Möbius Function
- 1
- Radical
- 10302
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- yes
- Odd
- no
Appears in sequences
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=46A025504
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=5A033829
- Product of a prime and the following number.at n=25A036690
- a(n) = prime(n)*prime(n+1) - prime(n).at n=25A037166
- Numbers k such that 277*2^k + 1 is prime.at n=26A053355
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=40A070020
- Squarefree numbers k with largest prime factor = floor(sqrt(k)).at n=15A071311
- Numbers k such that the largest prime power factor of k equals floor(sqrt(k)).at n=41A081807
- a(n) = number of conjugacy classes in PSL_3(prime(n)).at n=25A124679
- 6 times pentagonal numbers: a(n) = 3*n*(3*n-1).at n=34A152743
- a(n) = (4*n+1)*(4*n+2) = (4*n+2)!/(4*n)!.at n=25A157870
- a(n) = (7*n + 3)*(7*n + 4).at n=14A177071
- Floor of the expected value of number of trials until all cells are occupied in a random distribution of 2n balls in n cells.at n=52A210024
- Base 2i representation of nonnegative integers.at n=6A212494
- Squarefree oblong numbers.at n=33A229882
- Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.at n=3A252264
- Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.at n=2A252265
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.at n=18A252269
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.at n=17A252269
- Numbers n such that A062234(n) = A062234(n+1) = A062234(n+2).at n=41A258449