12753
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20020
- Proper Divisor Sum (Aliquot Sum)
- 7267
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- 0
- Radical
- 4251
- 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
- 125
- 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) = n*(n+1)*(4*n+5)/6.at n=26A016061
- Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^6.at n=22A029843
- Numbers k such that k(k+1)(k+2)...(k+9) / (k+(k+1)+(k+2)+...+(k+9)) is an integer.at n=34A032782
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-3)/3.at n=16A048028
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= sqrt(n).at n=16A048094
- Numbers k such that phi(k) is a perfect 5th power.at n=36A078165
- Partial sums of A151782.at n=28A151793
- Number of nondecreasing strings of numbers x(i=1..8) in -n..n with sum x(i)^3 equal to 0.at n=15A188282
- Numbers k such that Sum_{d|k} sigma(d)^3/d is an integer, where d are the divisors of k.at n=7A226566
- Numbers k such that k![6] + 2 is prime, where k![6] = A085158(k) = sextuple factorial.at n=22A287207
- Sum of the sixth largest parts of the partitions of n into 10 parts.at n=42A326593
- Least area (doubled) of a triangle enclosing a circle of radius n such that the center of the circle and the vertices of the triangle all have integer coordinates.at n=34A358465