9998
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 35
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15000
- Proper Divisor Sum (Aliquot Sum)
- 5002
- 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
- 4998
- Möbius Function
- 1
- Radical
- 9998
- 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
- 91
- 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
- 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=26A031596
- Numbers having three 9's in base 10.at n=35A043527
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=33A045303
- Concatenation of n consecutive ascending numbers starting from a(n) produces the smallest possible prime of this form, 0 if no such prime exists.at n=21A052079
- a(n) is the largest number which can be formed with no zeros, using least number of digits and having digit sum = n.at n=34A061219
- a(0) = 0; a(n) is obtained by incrementing each digit of a(n-1) by 2.at n=14A061513
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=35A063356
- Smallest even number with digit sum n.at n=34A069532
- Largest n-digit number with exactly n divisors, or 0 if no such number exists.at n=3A070845
- Largest n-digit squarefree number.at n=3A074110
- {Concatenation of n-1 and n+1}/n where n is a member of A069871.at n=7A077192
- a(n) = A078296(n+1)/A078296(n).at n=3A078397
- a(n) = sqrt(A084004(n)).at n=11A084005
- Numbers which are either a divisor or a multiple of their 9's complement.at n=35A084020
- a(n) = 1 + (26*n+17+7*n^2)*n/2.at n=13A095796
- Largest n-digit semiprime.at n=3A098450
- Positive integers k such that f(k)+f(k)=concatenation of k and k, where f(k)=k(k+3)/2 (A000096).at n=3A099150
- Near-repdigit semiprimes with 9 as repeated digit.at n=28A105990
- Numbers n such that every digit of both n and n^2 contains a loop (only digits 0,4,6,8,9 in n and n^2).at n=18A107626
- Numbers A such that the square of concatenation AA is of form NNMM.at n=11A107677