9986
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14982
- Proper Divisor Sum (Aliquot Sum)
- 4996
- 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
- 4992
- Möbius Function
- 1
- Radical
- 9986
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 166
- 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
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=32A000511
- 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=25A031596
- a(n) = smallest k such that the digit sum of 8k is n.at n=40A077495
- Composite numbers between largest n-digit prime and the smallest (n+1) digit prime.at n=29A109936
- Minimum number k for which the digital sum of k*n is 5*n.at n=8A147825
- G.f. satisfies: A(x) = A(x^2)^2 + x*A(x^2)^3.at n=25A174512
- Number of compositions (ordered partitions) of n into 2 or more distinct nonnegative parts.at n=20A216708
- The number of symmetric positive definite 2 X 2 matrices whose entries are integers of absolute value at most n.at n=21A219693
- Number of times the digit 6 appears in the first 10^n digits of Catalan's constant.at n=4A224775
- Number of partitions of n such that neither the number of parts having multiplicity >1 nor the number of distinct parts is a part.at n=42A241412
- Sum of all proper divisors of all positive integers <= prime(n).at n=40A244576
- G.f.: Sum_{n>=0} (1 + (1+x)^(n+1))^n * x^n.at n=7A326276
- Number of integer partitions of n with at least one pair of consecutive divisible parts.at n=33A328221
- Regular triangle where T(n,k) is the number of non-isomorphic multiset partitions of k-element multiset partitions of multisets of size n.at n=43A330473
- Numbers k such that A380459(k) has no divisors of the form p^p, while A003415(k) has such a divisor or is 0.at n=37A380474