13753
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14580
- Proper Divisor Sum (Aliquot Sum)
- 827
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12928
- Möbius Function
- 1
- Radical
- 13753
- Omega Function (Ω)
- 2
- 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
- 32
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 73.at n=8A020412
- Array T(n,k) = number of conjugacy classes of subgroups of index k in free group of rank n, read by antidiagonals.at n=25A057004
- Number of conjugacy classes of subgroups of index n in free group of rank 3.at n=4A057006
- Number of conjugacy classes of subgroups of index 5 in free group of rank n.at n=2A057011
- a(n) = n*(6*n^2 - 7*n + 3)/2.at n=17A071230
- Zero followed by partial sums of A059100, starting at n=1.at n=34A145068
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, 0, 1), (1, 1, -1)}.at n=9A148846
- a(n) = 529*n - 1.at n=25A158365
- a(n) = 26*n^2 - 1.at n=22A158551
- Numbers k such that Sum_{i=1..k} i^7 divides Product_{i=1..k} i^7.at n=11A166607
- Totally multiplicative sequence with a(p) = a(p-1) + 8 for prime p.at n=32A166705
- a(n) = n^3 - 3n^2 + 3.at n=25A177058
- Number of increasing sequences of n integers x(1),...,x(n) with values in 1..5*n such that x(j) divides x(k) iff j divides k.at n=24A180382
- 50k^2-40k-17 interleaved with 50k^2+10k+13 for k=>0.at n=34A217893
- Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.at n=18A305043
- Number of vertices among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes using only a compass.at n=3A354605