11940
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33600
- Proper Divisor Sum (Aliquot Sum)
- 21660
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3168
- Möbius Function
- 0
- Radical
- 5970
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of Product_{k>=1} (1 - x^k)^(-k^4).at n=6A023873
- a(n) = least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 3rd elementary symmetric function.at n=36A027917
- Number of 6-ary rooted trees with n nodes and height at most 9.at n=13A036626
- Denominators of continued fraction convergents to sqrt(44).at n=15A041075
- Number of factorizations with 3 levels of parentheses indexed by prime signatures. A050340(A025487).at n=35A050341
- a(1)=1, a(n) = a(n-1) + n^4 if n odd, a(n) = a(n-1) + n^5 if n is even.at n=6A140161
- Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is Euler transform of (j->j^k).at n=61A144048
- Averages of twin prime pairs of A154546.at n=41A154548
- a(n) = 3*n*(5*n-1)/2.at n=39A167469
- Numbers k such that in a rotated-square spiral with positive integers (A215468) among k's eight nearest neighbors five or more are primes.at n=10A215471
- Expansion of x * f(-x^7) * f(-x^21) / (f(-x) * f(-x^3)) where f() is a Ramanujan theta function.at n=29A226007
- The Wiener index of the graph obtained by applying Mycielski's construction to the crown graph G(n) (n>=3).at n=27A228598
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 1: bits 0-6 refer to segments from top to bottom, left to right.at n=21A234691
- Number of partitions of n such that (greatest part) - (least part) >= number of parts.at n=37A237834
- Number T(n,k) of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=55A288387
- Number of Dyck paths of semilength n such that at least one positive level has no peaks.at n=10A288539
- Averages k of twin primes such that the sum (with multiplicity) of prime factors of k-1, k and k+1 is prime.at n=31A340060
- Numbers of the form prime(i-1)+prime(i+1) that are the average of a twin prime pair.at n=41A342993
- Midpoints k of a pair of twin primes such that sigma(k) is also the midpoint of a pair of twin primes.at n=22A349981
- Expansion of g.f. A(x) satisfying 3*x = Sum_{n=-oo..+oo} x^(n*(3*n+1)/2) * (A(x)^(3*n) - 1/A(x)^(3*n+1)).at n=5A361553