12969
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20592
- Proper Divisor Sum (Aliquot Sum)
- 7623
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7800
- Möbius Function
- 0
- Radical
- 4323
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- 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
- Numerators of continued fraction convergents to sqrt(550).at n=7A042052
- Numerators of continued fraction convergents to sqrt(554).at n=7A042060
- Cototient of 2^n + 1.at n=15A053286
- a(n) = 3*n*(4*n-1).at n=33A062783
- Least positive k such that 2^n + k is a Chen prime and 2^n + k + 2 is a brilliant number.at n=26A109364
- a(0)=1, a(1)=1, a(n) = 9*a(n/2) for even n >= 2, and a(n) = 8*a((n-1)/2) + a((n+1)/2) for odd n >= 3.at n=26A116526
- prime(n)*( prime(n)-n ).at n=31A161522
- Terms in A177950 that are not in A002778.at n=35A175440
- Numbers k such that gcd(k^2, reverse(k^2)) = k.at n=11A175823
- Hodge structure on relative homology of some varieties related to cluster algebras of type A.at n=39A196019
- Number of 0..n arrays x(0..4) of 5 elements with zero 4th difference.at n=15A200156
- a(n) = n*(25*n - 39)/2.at n=33A263231
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 - j^k*x^j)^j.at n=50A294582
- a(n) where a(n)=-a(-n), a(1)=a(2)=a(3)=a(4)=1, and a(n+2)*a(n-2) = a(n+1)*a(n-1) - c(n)*a(n)^2 where c(3*k)=-2, else c(n)=1.at n=15A320769
- Number of vertices in a polygon whose boundary consists of n+2 equally spaced points around a semicircle and n+2 equally spaced points along the diameter (a total of 2n+2 points). See Comments for precise definition.at n=13A334458
- a(n)^2 is the end of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245).at n=35A340664
- a(n) is the least integer k such that 1/(Sum_{j=1..n} 1/phi(k*j)) is an integer.at n=23A341810
- Starts of runs of 3 consecutive lazy-tribonacci-Niven numbers (A352107).at n=4A352109
- Number of ASCII letter 'A' bytes that when compressed with zlib generate a new record longest compressed byte stream.at n=28A375585
- Number of integer partitions of n that cannot be partitioned into a set of sets.at n=39A382078