10225
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12710
- Proper Divisor Sum (Aliquot Sum)
- 2485
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8160
- Möbius Function
- 0
- Radical
- 2045
- Omega Function (Ω)
- 3
- 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
- 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
- 60
- 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
- Pseudoprimes to base 7.at n=16A005938
- Positive numbers k such that k and 5*k are anagrams in base 6 (written in base 6).at n=2A023067
- Least m such that if r and s in {1/4, 1/8, 1/12, ..., 1/4n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=38A024839
- Numbers k such that s(k) + s(k+1) + ... + s(k+7) = t(k) + t(k+1) + ... + t(k+7).at n=10A033914
- Reverse and add (in base 4).at n=16A035524
- Positive numbers having the same set of digits in base 6 and base 10.at n=21A037437
- Positive numbers having the same set of digits in base 9 and base 10.at n=32A037443
- Numbers k such that k^16 == 1 (mod 17^3).at n=34A056088
- Coefficients of replicable function number 15a.at n=44A058512
- a(n) = (2*n-1)^2 + (2*n)^2.at n=35A060820
- a(n) = A061086(n) / n.at n=14A061087
- Number of powerful numbers between 2^(n-1)+1 and 2^n.at n=28A062761
- Number of partitions of n with positive rank.at n=36A064173
- Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes.at n=13A064687
- Sum of the reciprocals of the partitions of n enumerated in A058360.at n=49A066824
- Convolution of Fibonacci F(n+1), n >= 0, with F(n+3), n >= 0.at n=13A067331
- a(n) = 8*n^2 - 4*n + 1.at n=36A080856
- Third row of Pascal-(1,5,1) array A081580.at n=24A081589
- Ordered hypotenuses of primitive Pythagorean triangles having legs that add up to a square.at n=14A088319
- a(n+3) = 3*a(n+2) - 2*a(n+1) + 1 with a(0)=1, a(1)=5.at n=11A094002