11737
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
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13034
- Proper Divisor Sum (Aliquot Sum)
- 1297
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10560
- Möbius Function
- 0
- Radical
- 1067
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 143
- 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
- a(n) = s(n+3)/6, where s is A024953.at n=11A024954
- Number of binary rooted trees with n nodes and height exactly 8.at n=17A036597
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=32A064180
- Enumeration of partial sums of 1 + [1,2] + [2,3] + [1,2] + [2,3] + ...at n=28A089640
- Number of partitions of n such that the set of even parts has only one element.at n=43A090867
- Sum of all numbers from n to n-th prime.at n=36A161624
- a(n) = (2*n^3 + 5*n^2 - 11*n)/2.at n=21A162257
- a(n) = 97*n^2.at n=11A174338
- Denominators of the ordinary convergents of continued fraction [2/1,3/2,4/3,5/4,...].at n=8A229352
- Number of partitions p of n such that max(p) - min(p) is not a part of p.at n=34A238494
- Numbers k such that 7*R_(k+2) - 5*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=13A257028
- a(n) = n^3 + 2*n^2 + 5*n + 11.at n=22A271779
- Square spiral in which each new term is the sum of its two largest neighbors.at n=45A278180
- Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 6/5.at n=43A279778
- Number of partitions of n with three sorts of part 1 which are introduced in ascending order.at n=10A320734
- a(n) is to A151723(n+1) as A319018(n+1) is to A147562(n+1), n >= 0.at n=38A322662
- Numbers k for which the 3-adic valuations of k and sigma(k) are equal, and that also satisfy Euler's criterion for odd perfect numbers (see A228058).at n=46A349755
- Numbers k satisfying Euler's criterion for odd perfect numbers (A228058), such that sigma(k)+k is also a multiple of 3, and sigma(k) preserves the 3-adic valuation of k, where sigma is the sum of divisors function.at n=46A387162
- Numbers of the form 12*k + 1 that satisfy Euler's condition for odd perfect numbers (A228058).at n=43A387404
- Expansion of e.g.f. exp(3*x)*(exp(2*x) - x^2 - x).at n=6A390340