λ
Math Directory

2,133,305

5 × 426661
Deficient Odd Composite

2,133,305 factors as 5 × 426661. Its 4 positive divisors give a proper-divisor sum of 426,667, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 5 × 426661
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,559,972
Proper Divisor Sum 426,667
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2133293 ← → #2133311

Radix Representation

Decimal 2133305
Binary 1000001000110100111001 (22 bits)
Octal 0o10106471
Hexadecimal 0x208D39

Divisor Catalog (4)

1 5 426,661 2,133,305

Collatz Trajectory (197 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,133,305 6,399,916 3,199,958 1,599,979 4,799,938 2,399,969 7,199,908 3,599,954 1,799,977 5,399,932 2,699,966 1,349,983 4,049,950 2,024,975 6,074,926 3,037,463 9,112,390 4,556,195 13,668,586 6,834,293 20,502,880 10,251,440 5,125,720 2,562,860 1,281,430 640,715 1,922,146 961,073 2,883,220 1,441,610 720,805 2,162,416 1,081,208 540,604 270,302 135,151 405,454 202,727 608,182 304,091 912,274 456,137 1,368,412 684,206 342,103 1,026,310 513,155 1,539,466 769,733 2,309,200 1,154,600 577,300 288,650 144,325 432,976 216,488 108,244 54,122 27,061 81,184

More profiles

← Previous Integer #2,133,304 Browse Full Index Next Integer #2,133,306 →