9010
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17496
- Proper Divisor Sum (Aliquot Sum)
- 8486
- 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
- 3328
- Möbius Function
- 1
- Radical
- 9010
- 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
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=42A020360
- Number of labeled servers of dimension 15.at n=3A027402
- Numbers whose set of base-16 digits is {2,3}.at n=20A032816
- Numbers whose set of base-13 digits is {1,4}.at n=24A032825
- Numbers in which all pairs of consecutive base-5 digits differ by 2.at n=38A033083
- 18-gonal (or octadecagonal) numbers: a(n) = n*(8*n-7).at n=34A051870
- Numbers n such that phi(2n-1) = sigma(n).at n=32A067230
- a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit.at n=35A068860
- a(n) = A028491(n) - 1.at n=10A090747
- Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes.at n=39A097870
- a(n+1) = least positive integer not already used that begins with the last two digits of a(n).at n=44A098753
- Slowest increasing sequence where the absolute difference between the last digit of a(n) and the first digit of a(n+1) equals 9.at n=13A101243
- Numbers k such that k*(k+2) gives the concatenation of two numbers m and m+1.at n=1A116295
- a(2*n+1) = 9*a(n), a(2*n+2) = 10*a(n) + a(n-1).at n=20A116555
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 8 and 9.at n=35A136835
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 8 and 9.at n=33A136852
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 8 and 9.at n=23A136867
- Numbers k such that k and k^2 use only the digits 0, 1, 5, 8 and 9.at n=17A136874
- Numbers k such that k and k^2 use only the digits 0, 1, 6, 8 and 9.at n=17A136879
- Numbers k such that k and k^2 use only the digits 0, 1, 7, 8 and 9.at n=17A136880