9624
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24120
- Proper Divisor Sum (Aliquot Sum)
- 14496
- 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
- 3200
- Möbius Function
- 0
- Radical
- 2406
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 23.at n=43A031521
- Number of 4-ary rooted trees with n nodes and height at most 5.at n=15A036610
- Number of partitions satisfying cn(2,5) + cn(3,5) < cn(0,5) + cn(1,5) + cn(4,5).at n=34A039869
- First minimum value > 0 of the form x^3-k^2 when k > n^3.at n=20A070959
- Smallest number a(n)>a(n-1) such that T(a(n-1))+T(a(n))=T(m) for some m, a(1)=3; T(i) are the triangular numbers.at n=25A072522
- Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.at n=16A108344
- Group the triangular numbers so that the n-th group sum is a multiple of n. 1, (3, 6, 10, 15), (21), (28), (36, 45, 55, 66, 78), (91, 105, 120, 136, 153, 171, 190), ... Sequence contains the group sums.at n=11A114031
- Row sums of triangle A137712.at n=19A137713
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only either two adjacent vertically or two adjacent horizontally.at n=6A145774
- Number of permutations of floor(i*3/2), i=0..n-1, with all sums of two and three adjacent terms respectively unique.at n=7A147892
- First of two consecutive numbers with at least one 3 in their prime signature.at n=47A176313
- Sum of the numbers already killed in the first jump of a Sieve of Eratosthenes table.at n=23A179628
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|>n+|y-z|.at n=17A212689
- Number of partitions of n whose median is not a part.at n=41A238479
- Number of partitions p of n such that (number of numbers in p of form 3k) < (number of numbers in p of form 3k+1).at n=36A241743
- Number of compositions of n with difference -3 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=13A242838
- Numbers k such that k and k+1 both have 16 divisors.at n=19A274359
- Number of sets of exactly seven positive integers <= n having a square element sum.at n=15A281867
- Expansion of Product_{k>0} (1 - q^(3*k))^5/((1 - q^k)^3*(1 - q^(6*k))^2).at n=16A293423
- Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.at n=5A299094