10792
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 10808
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 2698
- 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
- no
- Harshad Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Primitive weird numbers: weird numbers with no proper weird divisors.at n=7A002975
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=11A004229
- a(n) = 10000*log_10(n) rounded up.at n=11A004230
- Spiral sieve using Fibonacci numbers.at n=19A005625
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=9A006037
- Sum of squares of numbers in row n of array T given by A026769.at n=7A027245
- Number of ways to partition n elements into pie slices of different sizes allowing the pie to be turned over.at n=34A032228
- "EFK" (unordered, size, unlabeled) transform of 2,4,6,8,...at n=14A032309
- Numbers m such that m divides sigma(m) - d(m).at n=6A056075
- Numbers n such that phi(3n-1) = sigma(n).at n=44A067232
- Numbers k such that sigma(k) = phi(k*omega(k)-1).at n=41A067878
- Duplicate of A056075.at n=6A070019
- a(n) = floor(1/sin(x(n))) where x(n) is Pi truncated at the n-th decimal digit.at n=4A074783
- Denominators of convergents to sqrt(e).at n=11A078737
- The number of possible values of the squarefree kernel (A007947) shared by at least two solutions x to A056239(x) = n.at n=47A088318
- Admirable Harshad numbers such that the subtracted divisor is also a Harshad number.at n=19A109396
- Admirable Harshad numbers.at n=43A111947
- Pairs (j, k) of numbers j<k such that phi(j) = phi(k), sigma(j) = sigma(k), d(j) = d(k).at n=38A134922
- Weird numbers (A006037) not divisible by 5.at n=4A138850
- Numbers n whose abundance is 16.at n=5A141547