9971
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10980
- Proper Divisor Sum (Aliquot Sum)
- 1009
- 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
- 9048
- Möbius Function
- 0
- Radical
- 767
- Omega Function (Ω)
- 3
- 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
- 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
- Powers of fifth root of 15 rounded up.at n=17A018158
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=9A031783
- a(n) = A051201(2^n).at n=11A078161
- Greatest 3-brilliant number of size n.at n=3A083182
- Coefficients of a solution to a functional equation.at n=22A092834
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 59.at n=3A093259
- Number of times the digit 4 appears in the first 10^n digits of Pi.at n=4A099295
- Berend Jan van der Zwaag's conjectured complete list of numbers that start different "expanding periodic loops" under the mapping described in A053392 and A060630.at n=12A103117
- Numbers whose natural logarithm, in base 10, starts with 10 distinct digits.at n=2A113509
- 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), (0, 1, -1), (1, 0, -1), (1, 1, 0)}.at n=9A148684
- a(n) = (n^4 + 16*n^3 + 65*n^2 + 26*n + 12)/12.at n=15A188480
- Total number of parts of multiplicity 10 in all partitions of n.at n=41A222710
- Expansion of Sum_{k>=1} k^2*x^k^2/(1 - x^k^2) * Product_{k>=1} 1/(1 - x^k^2).at n=58A276559
- Number of ways to choose a strict rooted partition of each part in a constant rooted partition of n.at n=46A301768
- Indices of primes followed by a gap (distance to next larger prime) of 42.at n=19A320719
- Numbers k coprime to 10 such that there are exactly two values of A for which k^2+4*A and k^2-4*A are perfect squares.at n=42A325421
- Numbers of the form p^2 * q where p and q are primes with p < q < p^2.at n=52A355446