10189
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10656
- Proper Divisor Sum (Aliquot Sum)
- 467
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9724
- Möbius Function
- 1
- Radical
- 10189
- 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
- 34
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 84 ones.at n=2A031852
- Number of partitions satisfying cn(0,5) < cn(2,5) + cn(3,5).at n=33A039841
- Denominators of continued fraction convergents to sqrt(371).at n=7A041703
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.at n=13A049957
- Sum of first n perfect powers.at n=37A076408
- a(n) = A077727(n)/n.at n=30A077728
- Expansion of (1-x)/(1+x+x^2-2*x^3).at n=20A078045
- Where records occur in A118878.at n=21A119904
- The least number s having exactly n threes in the continued fraction of sqrt(s).at n=28A206583
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime.at n=27A254541
- Semiprimes that are the sum of the first n odd primes for some n.at n=22A274182
- Numerator of the n-th partial sum of the reciprocals of the successive prime gaps.at n=38A274827
- a(n) = a(n-2) + 2*a(n-3) for n >= 3, where a(0) = 2, a(2) = 4, a(3) = 5.at n=20A288668
- Number of unique X-rays of n X n binary matrices with exactly n ones.at n=28A290133
- Number of partitions of n into colored blocks of equal parts, such that all colors from a set of size two are used and the colors are introduced in increasing order.at n=21A327285
- Setwise difference A340150 \ A340076.at n=22A340151
- Triangle read by rows: T(n,k) is the number of simple graphs on n unlabeled nodes with k simplical vertices, 0 <= k <= n.at n=49A367145
- a(n) = Sum_{k=1..n-1} sigma(k) * sigma_2(n-k).at n=15A374974
- a(n) = 8*n^2 - 5*n + 1.at n=36A383464