10071
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14960
- Proper Divisor Sum (Aliquot Sum)
- 4889
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6696
- Möbius Function
- 0
- Radical
- 1119
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- Number of cases considered in a particular algorithm for enumerating hexaflexagrams.at n=10A007499
- Odd 9-gonal (or enneagonal) numbers.at n=27A028991
- [ exp(9/13)*n! ].at n=6A030925
- n plus a googol is prime.at n=28A049014
- Trisection of A007294.at n=34A073471
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives y's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=22A075769
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=9A089493
- Least number that requires exactly n iterations of f(x) = reverse(x) - maxdigit(x) to reach zero.at n=21A097156
- Numbers that set a new record for the number of iterations needed to reach 0 under f(x) = reverse(x) - maxdigit(x).at n=18A097158
- Enneagonal numbers whose sum of digits is also enneagonal.at n=8A117051
- Enneagonal numbers for which the product of the digits is also an enneagonal number.at n=15A117052
- Enneagonal numbers for which both the sum of the digits and the product of the digits are also enneagonal numbers.at n=4A117053
- Enneagonal numbers divisible by 9.at n=12A117796
- Numbers k for which digitsum(k) + digitsum(k^2) + digitsum(k^3) = digitsum(k^4).at n=20A118470
- a(n) = 3*a(n-1)-3*a(n-2)+3*a(n-3) with a(0)=1, a(1)=3, a(2)=7.at n=11A140498
- Abs(square of n-th prime minus cube of n-1).at n=28A151911
- First of two consecutive numbers with at least one 3 in their prime signature.at n=48A176313
- Numbers n that (n^3 - 4,n^3 - 2) is a twin prime pair.at n=36A178507
- Numbers k such that k and k+1 are both of the form p*q^3 where p and q are distinct primes.at n=11A215173
- Number of partitions of n such that 2*(least part) <= greatest part.at n=32A237821