12928
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26010
- Proper Divisor Sum (Aliquot Sum)
- 13082
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6400
- Möbius Function
- 0
- Radical
- 202
- Omega Function (Ω)
- 8
- 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
- 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
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 4) so far).at n=32A060731
- Floor of area of triangle with consecutive prime sides.at n=38A096377
- Triangle of coefficients of a certain sequence of polynomials f_n(x) arising in connection with deformations of coordinate rings of type D Kleinian singularities.at n=31A097418
- Positive numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers and x>y).at n=4A135791
- Numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers).at n=17A135793
- 28-gonal numbers: a(n) = n*(13*n - 12).at n=32A161935
- G.f.: A(x) satisfies A(x) = x + x*A(A(2*x)).at n=5A171212
- n-th integer having n-th prime-containing prime signature.at n=26A178849
- Products of the 7th power of a prime and a distinct prime (p^7*q).at n=26A179664
- Number of nondecreasing strings of numbers x(i=1..n) in -7..7 with sum x(i)^3 equal to 0.at n=12A188275
- G.f. satisfies: A(x) = 1 + x/A(-x*A(x)^2).at n=11A213091
- Value of A114183 at end of n-th doubling run.at n=45A213656
- G.f. satisfies: A(x) = 1/A(-x*A(x)).at n=9A214761
- Sum of the largest parts in the partitions of n into 7 squarefree parts.at n=44A308960
- Infinitary Zumkeller numbers (A335197) whose set of infinitary divisors can be partitioned into two disjoint sets of equal sum in a single way.at n=35A335199
- a(n) is the nearest integer to the area of a triangle with sides prime(n), prime(n+1), prime(n+2).at n=38A338267
- Numbers with the same number of cubefree divisors and 3-full divisors.at n=34A360906