12784
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
- 20
- Divisor Sum
- 26784
- Proper Divisor Sum (Aliquot Sum)
- 14000
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5888
- Möbius Function
- 0
- Radical
- 1598
- Omega Function (Ω)
- 6
- 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
- 76
- 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+1) = a(n)-th composite number, with a(0) = 1.at n=35A006508
- a(n) = n*(25*n - 1)/2.at n=32A022282
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=16A031692
- Number of days in n years (n=3 is the first leap year).at n=34A033172
- Number of days in n years (n=2 is the first leap year).at n=34A033173
- Number of days in n years (n=1 is the first leap year).at n=34A033174
- a(n) = n*(n+13)*(n+14)/6.at n=34A111144
- a(n) = a(n-1) + a(n-2) + a(n-3) - a(n-4) with a(0) = a(1) = a(2) = 0, a(3) = 1.at n=21A116732
- a(n) = 512*n - 16.at n=24A157447
- Number of (n+1)X6 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors.at n=11A205069
- Triangle read by rows: T(n,k) = PIP(n,k) is the number of maximal families of sets from {1,2,...,n} with the property that if A and B are sets in the family, then |AB|>=k.at n=22A248929
- Numbers which are representable as a sum of seventeen but no fewer consecutive nonnegative integers.at n=17A270302
- Number of partitions of n such that the (sum of distinct even parts) > n/2.at n=42A284618
- Number of partitions of n such that the (sum of distinct even parts) >= n/2.at n=42A284619
- a(1)=0; for n>1, a(n) = 4*n^3 - 3*n^2 - 3*n + 4.at n=14A296363
- Numbers equal to the carryless sum of their divisors.at n=7A323415
- Irregular table read by rows: The number of k-faced polyhedra, where k>=4, created when an n-prism, formed from two n-sided regular polygons joined by n adjacent rectangles, is internally cut by all the planes defined by any three of its vertices.at n=31A338801
- The number of days elapsed since the Gregorian (proleptic) date Sunday, December 31, 1 BC on 1/1/n, where 1/1/n is the Gregorian date in the format month/day/year, the New Year's Day of the year n.at n=35A350471
- G.f. A(x) satisfies 1 - x = Sum_{n=-oo..+oo} (x^(2*n) - A(x))^n.at n=13A377249