12325
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16740
- Proper Divisor Sum (Aliquot Sum)
- 4415
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8960
- Möbius Function
- 0
- Radical
- 2465
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 156
- 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
- Define {b(n)} by b(1)=3, b(n) (n >= 2) is the smallest number such that b(1)^2 + ... + b(n)^2 = m^2 for some m and all b(i) are distinct. Sequence gives values of m.at n=5A018928
- Numbers that are the sum of 2 nonzero squares in exactly 6 ways.at n=4A025289
- Numbers that are the sum of 2 nonzero squares in 5 or more ways.at n=7A025296
- Numbers that are the sum of 2 nonzero squares in 6 or more ways.at n=4A025297
- Numbers that are the sum of 2 distinct nonzero squares in exactly 6 ways.at n=4A025307
- Numbers that are the sum of 2 distinct nonzero squares in 5 or more ways.at n=6A025315
- Numbers that are the sum of 2 distinct nonzero squares in 6 or more ways.at n=4A025316
- Numerators of continued fraction convergents to sqrt(853).at n=6A042646
- a(n) = n^4/2 - n^3 + 3*n^2/2 - n + 1 = (n^2 + 1)*(n^2 - 2*n + 2)/2.at n=13A058919
- Numbers that are sums of 2 or more consecutive squares in more than 1 way.at n=19A062681
- a(n) = (prime(n)^2 + 1)/2.at n=35A066885
- Average of squares of successive primes: a(n) = (prime(n+1)^2 + prime(n)^2)/2, with n >= 2.at n=27A075892
- a(1)=3; a(2n), a(2n+1) are smallest integers > a(2n-1) such that a(2n-1)^2+a(2n)^2=a(2n+1)^2.at n=10A077034
- Downward vertical of triangular spiral in A051682.at n=26A081272
- (Prime(prime(n))^2+1)/2.at n=11A092773
- Numbers m that are the hypotenuse of exactly 22 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 22 ways.at n=4A097103
- a(n) = 8*n^2 + 4*n + 1.at n=39A102083
- Least k such that prime(n)^2 divides binomial(2k,k).at n=36A110494
- Numbers k such that k + sigma(k) + phi(k) is a square.at n=18A116009
- Numbers k such that the central binomial coefficient C(2k,k) is divisible by k^2.at n=21A121943