11782
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18216
- Proper Divisor Sum (Aliquot Sum)
- 6434
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5712
- Möbius Function
- -1
- Radical
- 11782
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 81
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 period 86.at n=31A020425
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=40A024844
- Numerators of continued fraction convergents to sqrt(701).at n=4A042348
- Composite numbers m such that phi(m)*sigma(m) is divisible by m-1.at n=24A065149
- Centered 21-gonal numbers.at n=33A069178
- Triangle T(n, k) read by rows; given by [1, 0, 0, 0, 0, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.at n=27A085792
- Triangle T(n, k) read by rows; given by [1, 1, 1, 1, 1, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.at n=27A085843
- Triangle T(n, k) read by rows; given by [0, 1, 0, 1, 0, 1, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.at n=27A085845
- Row sums of triangle A096806, in which the binomial transform of the n-th row lists the m-dimensional partitions of n, for n>=1 and m>=0.at n=9A096807
- An inverse Chebyshev transform of (1-x)/(1-2x).at n=11A100098
- An inverse Chebyshev transform of x/(1-2x).at n=11A100099
- Partial sums of A024770.at n=28A173057
- G.f. satisfies: A(x) = 1 + Sum_{n>=1} 2*x^n * A(x)^(n^2).at n=6A176719
- Number of representations of n as a sum of products of distinct pairs of positive integers, considered to be equivalent when terms or factors are reordered.at n=40A211856
- Number of partitions of n+8 with largest inscribed rectangle having area <= n.at n=26A218629
- Numbers whose multiset multisystem (A302242) is crossing.at n=26A324170
- Number of integer partitions of n whose run-lengths are neither weakly increasing nor weakly decreasing.at n=37A332641
- a(n) = time to the nearest second at the n-th instant (n>=0) when the hour and minute hands on a clock face coincide, starting at time 0:00.at n=3A335789
- Numbers that are the sum of five third powers in exactly ten ways.at n=31A345188
- a(n) = A002070(n) + A036689(n).at n=28A366346