17296
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 35712
- Proper Divisor Sum (Aliquot Sum)
- 18416
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8096
- Möbius Function
- 0
- Radical
- 2162
- 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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 141
- 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
- Weight distribution of binary [ 48,24,12 ] quadratic residue code.at n=9A001381
- Weight distribution of binary [ 48,24,12 ] quadratic residue code.at n=3A001381
- Smaller of an amicable pair: (a,b) such that sigma(a) = sigma(b) = a+b, a < b.at n=7A002025
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=23A002492
- Binomial coefficient C(4n,n-9).at n=3A004339
- Binomial coefficient C(6n,n-5).at n=3A004360
- Binomial coefficient C(8n,n-3).at n=3A004384
- Dodecahedral numbers: a(n) = n*(3*n - 1)*(3*n - 2)/2.at n=16A006566
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=47A006580
- Expansion of cosh(tan(x))/cos(x).at n=4A009160
- Expansion of e.g.f.: exp(tan(x))/cos(x).at n=8A009244
- Binomial coefficient C(48,n).at n=3A010964
- a(n) = binomial coefficient C(n,45).at n=3A010998
- Even tetrahedral numbers.at n=34A015220
- (prime(n)-5)(prime(n)-7)(prime(n)-9)/48.at n=23A030002
- a(n) = (prime(n) - 1)*(prime(n) - 3)*(prime(n) - 5)/48.at n=23A030004
- "EGJ" (unordered, element, labeled) transform of 2,2,2,2...at n=8A032312
- Leading term in extremal weight enumerator of doubly-even binary self-dual code of length 24n.at n=2A034414
- Number of partitions satisfying (cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=39A036801
- Smaller of amicable pairs of Euler's first form with GCD a power of 2.at n=1A049023