9924
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23184
- Proper Divisor Sum (Aliquot Sum)
- 13260
- 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
- 3304
- Möbius Function
- 0
- Radical
- 4962
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- Smith Number
- yes
- 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
- a(n) = 2nd elementary symmetric function of the first n+1 positive integers congruent to 1 mod 4.at n=7A024378
- a(n) = T(2n+2,n), array T as in A055818.at n=5A055826
- G.f.: (1 + Sum_{ i >= 0 } 2^i*x^(2^(i+1)-1)) / (1-x)^3.at n=41A063916
- Treated as strings, n begins with Floor(sqrt(n)).at n=47A069086
- Largest n-digit number m such that m and m^10 are zeroless.at n=3A124654
- a(n) = A153801(n)/2.at n=23A153804
- Number of ways to partition 1 into distinct reduced fractions i/j with j <= n.at n=23A154888
- Number of (w,x,y,z) with all terms in {1,...,n} and min{|w-x|,|w-y|}=min{|x-y|,|x-z|}.at n=18A212579
- Principal diagonal of the convolution array A213825.at n=11A213826
- Numbers k such that Bernoulli number B_k has denominator 2730.at n=38A249134
- Triangle read by rows: T(n, k) is the Sheffer triangle ((1 - 4*x)^(-1/4), (-1/4)*log(1 - 4*x)). A generalized Stirling1 triangle.at n=52A290319
- Coordination sequence for "svh" 3D uniform tiling.at n=44A299283
- Indices of primes followed by a gap (distance to next larger prime) of 32.at n=34A320714
- Number of factorizations of 2^n into factors > 1 with integer average.at n=42A326667
- Numbers m such that the numbers of 1's in the binary expansion of m equals the negative sum of balanced ternary trits of m.at n=44A334765
- Numbers that are the sum of ten fourth powers in ten or more ways.at n=29A345603
- Numbers that are the sum of nine fourth powers in exactly seven ways.at n=38A345849
- Numbers that are the sum of ten fourth powers in exactly ten ways.at n=21A345862
- Number of semi-sums of strict integer partitions of n.at n=40A366741
- Start with two vertices and draw a circle around each whose radius is the distance between the vertices. The sequence gives the number of curved edges constructed after n iterations of drawing circles with this same radius around every new vertex created from all circles' intersections.at n=40A374339