9930
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23904
- Proper Divisor Sum (Aliquot Sum)
- 13974
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 1
- Radical
- 9930
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,9.at n=15A064241
- Number of partitions of n such that the least part occurs exactly five times.at n=46A097093
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 53 for n > 0.at n=12A100999
- Nonnegative k such that 3*k + 1 is a perfect cube.at n=10A121628
- a(n) = floor(n^3/3).at n=31A131476
- Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime.at n=38A154667
- Half the number of length n integer sequences with sum zero and sum of squares 1922.at n=3A157563
- Potential magic constants of 8 X 8 magic squares composed of consecutive primes.at n=21A189188
- Number of (w,x,y) with all terms in {0,...,n} and 2*w < |x+y-w|.at n=30A213396
- Number of partitions of n in which any two parts differ by at most 6.at n=43A218508
- Number of partitions p of n such that (number of numbers in p of form 3k+1) < (number of numbers in p of form 3k+2).at n=40A241737
- Number of compositions of n with exactly 5 transitions between different parts.at n=7A244717
- Numbers n such that n is both the average of some twin prime pair p, q (q = p+2) (i.e., n = p+1 = q-1) and is also the arithmetic mean of the four numbers consisting of the two primes before p and the two primes after q.at n=23A256620
- Number of squares of all sizes in 3*n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds.at n=28A258440
- Difference between the numbers of trees on n vertices with an even number and an odd number of leaves.at n=26A262395
- Number of 2 X 2 matrices with all elements in 0..n such that the sum of the elements is prime.at n=13A281550
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2*b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=14A294418
- Sum of the smallest parts in the partitions of n into 6 parts.at n=49A308868
- Number T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order; triangle T(n,k), n>=0, min(j:A001787(j)>=n)<=k<=n, read by rows.at n=23A326914
- Averages k of twin primes such that the sum (with multiplicity) of prime factors of k-1, k and k+1 is prime.at n=26A340060