11725
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16864
- Proper Divisor Sum (Aliquot Sum)
- 5139
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7920
- Möbius Function
- 0
- Radical
- 2345
- Omega Function (Ω)
- 4
- 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
- 37
- 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
- Maxima of the rows of the triangle A259095.at n=42A005577
- Length of A001388(n).at n=31A046639
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n.at n=21A057253
- Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition).at n=14A071861
- Least k such that k(k+1)(k+2)...(k+n) divides C(2k,k).at n=9A072119
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a.at n=21A096031
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 1)}.at n=7A151490
- Number of vertices in truncated tetrahedron with faces that are centered polygons.at n=12A193218
- Union of A071863 and A071861.at n=42A193458
- Least positive integer m such that m + n divides sigma(m^2) + sigma(n^2), where sigma(k) is the sum of all positive divisors of k.at n=44A248054
- Numbers n such that the decimal expansions of both n and n^2 have 1 as smallest digit and 7 as largest digit.at n=28A257210
- Numerator of Kirchhoff index of ladder graph L_n.at n=4A265030
- Number of sets of nonempty words with a total of n letters over quaternary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.at n=10A293743
- Indices of primes followed by a gap (distance to next larger prime) of 44.at n=7A320720
- Number of compositions of n whose run-lengths are all different.at n=25A329739
- Expansion of e.g.f. Product_{k>=1} (1 + x^k)^exp(x).at n=6A347915
- Expansion of e.g.f. exp( x/(1 + log(1-x)) ).at n=6A355718
- a(n) is the number of ways n can be calculated with expressions of the form "d1 o1 d2 o2 d3 o3 d4" where d1-d4 are decimal digits (0-9) and o1-o3 are chosen from the four basic arithmetic operators (+, -, *, /).at n=9A357272
- Partial sums of A071619.at n=37A358042
- Start with two vertices and draw a circle around each whose radius is the distance between the vertices. The sequence gives the number of regions constructed after n iterations of drawing circles with this same radius around every new vertex created from all circles' intersections.at n=48A374337