10229
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10476
- Proper Divisor Sum (Aliquot Sum)
- 247
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9984
- Möbius Function
- 1
- Radical
- 10229
- Omega Function (Ω)
- 2
- 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
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=28A020372
- a(n) = (d(n) - r(n))/5, where d = A026037 and r is the periodic sequence with fundamental period (1,2,0,2,0).at n=51A026039
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=30A031420
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=18A051974
- Numbers k such that 7*2^k + 3 is prime.at n=15A058592
- Largest k such that round(1/(sqrt(prime(k+1))-sqrt(prime(k)))) = n where prime(n) denotes the n-th prime (conjectured values).at n=9A078693
- Starting positions of strings of three 8's in the decimal expansion of Pi.at n=7A083637
- G.f.: exp(Sum_{k>=1} B(x^k)/k), where B(x) = x + 2*x^2 + 5*x^3 + 14*x^4 + 42*x^5 + ... = (C(x)-1)/x and C is the g.f. for the Catalan numbers A000108.at n=9A088327
- Number of products of distinct factorials not exceeding n!.at n=34A101977
- First occurrence of just n semiprimes occurs between the a(n)-th prime and the next prime.at n=21A103669
- Consider the least number n such that n divided by pi(n) rounded is greater than any previous n; a(n) is the denominator of n/pi(n).at n=9A107614
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n such that the bottom of the last column is at level k (n>=1; k>=0). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=42A121632
- Expansion of x^3*(x-1)*(x+1) / (x^5-2*x^4+x^2-1).at n=47A135990
- Number of (n+3)X(n+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=5A188096
- Number of (n+3) X 9 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=5A188102
- Dispersion of A047209, (numbers >1 and congruent to 1 or 4 mod 5), by antidiagonals.at n=56A191728
- G.f.: exp( Sum_{n>=1} (2*sigma(n^2) - sigma(n)^2) * x^n/n ).at n=17A195734
- Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=26A213318
- Numbers of the form ((6k+5)^2+9)/2 or 2(3k+4)^2-9.at n=46A214493
- Number of 0..n arrays of length 3 with each element differing from at least one neighbor by something other than 1.at n=21A221574