10693
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
- 6
- Divisor Sum
- 11666
- Proper Divisor Sum (Aliquot Sum)
- 973
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9792
- Möbius Function
- 0
- Radical
- 629
- Omega Function (Ω)
- 3
- 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
- 117
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Hyperperfect numbers: k = m*(sigma(k) - k - 1) + 1 for some m > 1.at n=9A007592
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=36A031419
- Hyperperfect numbers: x such that x = 1 + k*(sigma(x)-x-1) for some k > 0.at n=13A034897
- Denominators of continued fraction convergents to sqrt(241).at n=10A041451
- Denominators of continued fraction convergents to sqrt(964).at n=10A042865
- 18-gonal (or octadecagonal) numbers: a(n) = n*(8*n-7).at n=37A051870
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=34A051873
- Stirling transform of the prime characteristic function.at n=9A085507
- a(n) = 10*n^2 - 6*n + 1.at n=32A087348
- Small-number statistic from the enumeration of domino tilings of a 5-pillow of order n.at n=16A112838
- Nonsemiprime hyperperfect numbers.at n=2A133447
- a(n) = 15*n^2 - 9*n + 1.at n=27A134154
- Row sums of triangle A135858.at n=22A135859
- a(n) = 324*n + 1.at n=32A158272
- Partial sums of A033485.at n=34A178855
- Number of strings of numbers x(i=1..5) in 0..n with sum i^3*x(i) equal to 125*n.at n=32A184260
- Numbers n such that n^2 is divisible by the sum of the distinct prime divisors of n^2 + 1.at n=11A196219
- Numerators of the Verhulst sequence x(n+1)=4*x(n)-3*x(n)^2, x(0)=1/10.at n=2A220811
- Numbers whose sum of aliquot parts is equal to the sum of some fixed power of their digits.at n=14A269670
- a(n) = 2*n^3 + 3*n^2.at n=17A275709