9598
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 4802
- 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
- 4798
- Möbius Function
- 1
- Radical
- 9598
- 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
- 166
- Smith Number
- yes
- 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 96.at n=22A031594
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=36A031816
- Numbers whose set of base-9 digits is {1,4}.at n=41A032821
- Numbers whose base-3 representation contains exactly one 0 and no 2's.at n=31A044994
- Numbers k such that 47*2^k-1 is prime.at n=9A050549
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=38A063381
- Numbers which need eight 'Reverse and Add' steps to reach a palindrome.at n=42A065213
- Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square.at n=40A163433
- Number of squares between powers of 2, floor(sqrt(2^(n+1))) - floor(sqrt(2^n)).at n=30A190568
- Number of triangular numbers T(k) between powers of 2, 2^(n-1) < T(k) <= 2^n.at n=29A190660
- Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, four or six distinct values for every i,j,k<=n.at n=11A211528
- Number of (n+1) X (n+1) -11..11 symmetric matrices with every 2 X 2 subblock having sum zero and two distinct values.at n=13A211710
- Minimum even value unattainable as the sum of 6 attained values of i*(i-1) with i in 0..n.at n=42A225292
- Number of nX3 binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.at n=6A228655
- T(n,k)=Number of nXk binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.at n=42A228660
- Number of 7 X n binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.at n=2A228666
- Numbers k with property that for every base b >= 2, there is a number m such that m+s(m) = k, where s(m) = sum of digits in the base-b expansion of m.at n=39A230624
- Number of partitions of n such that the number of parts having multiplicity >1 is not a part and the number of distinct parts is a part.at n=43A241410
- Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k valleys of width 1 (i.e., DHU configurations, where U=(0,1), H=(1,0), D=(0,-1)), (n>=2, k>=0).at n=29A273721
- Numbers whose sum of divisors is equal to the product of the number of divisors of their k first powers, for some k.at n=18A283758