9456
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
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 24552
- Proper Divisor Sum (Aliquot Sum)
- 15096
- 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
- 3136
- Möbius Function
- 0
- Radical
- 1182
- Omega Function (Ω)
- 6
- 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
- yes
- 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 k + sum of its prime factors = (k+1) + sum of its prime factors.at n=21A020700
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8).at n=39A034379
- Denominators of continued fraction convergents to sqrt(384).at n=8A041729
- a(n) = a(n-1) + a(m) for n >= 3, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = 3.at n=45A050069
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=32A051873
- a(n) = (n + 2)*(2*n^2 - n + 3)/6.at n=30A056520
- a(0)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)= 1/a(0)+1/a(1)+1/a(2)+...+1/a(n) equals 2n.at n=47A070898
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum for each group.at n=23A074128
- Sum of odd-indexed primes.at n=44A077131
- Partial sums of A080180.at n=20A080181
- Sum of largest parts (counted with multiplicity) of all partitions of n.at n=22A092321
- Look at the first 10 digits of the sequence: they are all different. The same for the next 10. And the next 10, etc. This sequence is the slowest increasing one with that property.at n=47A097912
- a(n) = 16*(8*prime(n) + 7).at n=20A098823
- Number of partitions of n into an equal number of prime and composite parts.at n=59A116449
- Number of n X n real symmetric (0,1)-matrices with determinant = 1.at n=4A119008
- Numbers n such that n^24 + 1 = p*q with p,q distinct primes.at n=18A119982
- Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position.at n=4A123776
- Sums of three consecutive pentagonal numbers.at n=45A129863
- Array read by columns: T(n,m) = number of unlabeled graphs with n vertices and m unicyclic components.at n=42A137918
- Numbers of unlabeled graphs with n vertices and 3 unicyclic components.at n=8A138388