8649
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 9
- Divisor Sum
- 12909
- Proper Divisor Sum (Aliquot Sum)
- 4260
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5580
- Möbius Function
- 0
- Radical
- 93
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 52
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers.at n=46A016754
- a(n) = (3*n)^2.at n=31A016766
- a(n) = (4*n + 1)^2.at n=23A016814
- a(n) = (5*n + 3)^2.at n=18A016886
- a(n) = (6*n+3)^2.at n=15A016946
- a(n) = (7*n+2)^2.at n=13A017006
- a(n) = (8*n + 5)^2.at n=11A017126
- a(n) = (9*n + 3)^2.at n=10A017198
- a(n) = (10*n + 3)^2.at n=9A017306
- a(n) = (11*n + 5)^2.at n=8A017450
- a(n) = (12*n + 9)^2.at n=7A017630
- n written in fractional base 10/8.at n=39A024663
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=48A024843
- Squares of (odd numbers not divisible by 5).at n=37A028375
- Numbers k such that k^2 is palindromic in base 15.at n=43A030073
- Numbers with 9 divisors.at n=29A030627
- Squares of lucky numbers.at n=21A032598
- Number of partitions satisfying (cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=48A036810
- Odd refactorable numbers.at n=14A036896
- Square refactorable numbers.at n=17A036907