9982
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18432
- Proper Divisor Sum (Aliquot Sum)
- 8450
- 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
- 3960
- Möbius Function
- 1
- Radical
- 9982
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=31A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=31A004967
- Coordination sequence for alpha-Mn, Position Mn3.at n=26A009952
- Numbers whose base-6 representation is the juxtaposition of two identical strings.at n=45A020334
- 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 98.at n=24A031596
- Otto Haxel's guess for magic numbers of nuclear shells.at n=31A033547
- Number of partitions satisfying 0 < cn(1,5) + cn(2,5) + cn(3,5) and 0 < cn(4,5) + cn(2,5) + cn(3,5).at n=33A039901
- Numbers n such that n | 7^n + 6^n + 5^n + 4^n + 3^n + 2^n + 1^n.at n=38A056750
- a(n) = number of m such that A080737(m) <= 2n.at n=38A080740
- Convolution of primes with partition numbers.at n=16A086717
- G.f. A(x) satisfies A097182(x*A(x)) = A(x) and so equals the ratio of the g.f.s of any two adjacent diagonals of triangle A097181.at n=4A097184
- a(n) = 997*n + 1009.at n=9A100776
- Composite numbers between largest n-digit prime and the smallest (n+1) digit prime.at n=25A109936
- 7 times pentagonal numbers: a(n) = 7*n*(3*n-1)/2.at n=31A152744
- If 0 <= n <= 3 then a(n) = n(n+1)(n+2)/3, if n >= 4 then a(n) = n(n^2+5)/3.at n=31A162626
- Multiples of 23 whose digit reversal - 1 is also a multiple of 23.at n=16A166400
- Partial sums of A002046.at n=3A180220
- a(n) = the largest 4-digit number with exactly n divisors, a(n) = 0 if no such number exists.at n=15A182696
- Number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=6A186466
- Number of (n+1)X8 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=2A186470