9442
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14166
- Proper Divisor Sum (Aliquot Sum)
- 4724
- 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
- 4720
- Möbius Function
- 1
- Radical
- 9442
- Omega Function (Ω)
- 2
- 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
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numerators of continued fraction convergents to sqrt(984).at n=6A042904
- Starting from generation 6 add previous and next term yielding generation 7.at n=34A048453
- Number of one-element transitions among partitions of the integer n for unlabeled parts.at n=21A093695
- A Chebyshev transform of Padovan numbers.at n=42A099491
- 1/16 the number of (n+1) X 4 0..3 arrays with all 2 X 2 subblocks having the same four values.at n=10A184033
- Floor( 10^n / sum(k=3..10^n, 1/k ) ).at n=4A202766
- Beach-Williams Pell numbers of type 2p (p prime).at n=7A212074
- Number of 0..n arrays of length 4 with 0 never adjacent to n.at n=8A212837
- Numbers k such that 10^k - 123456789 is prime.at n=18A248350
- Numbers of words on alphabet {0,1,...,9} with no subwords ii, for i from {0,1}.at n=4A254599
- Number of cyclic binary sequences of length n containing no abelian 4th powers.at n=30A305594
- Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=6A316691
- Number of n X 7 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=5A316692
- A self-"read and extend" sequence built following the rules visible in the Comments section.at n=12A316750
- A self-"read and extend" sequence built following the rules visible in the Comments section.at n=12A316758
- Numbers that are the sum of seven fourth powers in exactly four ways.at n=38A345826
- Number of compositions (ordered partitions) of n into at most 6 squarefree parts.at n=23A347783
- Even semiprimes that are the exact average of six consecutive odd semiprimes.at n=44A365202
- a(n) = Sum_{k=3..n} binomial(k,3) * floor(n/k).at n=21A366971