600,138

2 × 3² × 7 × 11 × 433

600,138 factors as 2 × 3^2 × 7 × 11 × 433. Its 48 positive divisors give a proper-divisor sum of 1,024,758, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 433

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,624,896

Proper Divisor Sum 1,024,758

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #600109 ← → #600167

Radix Representation

Decimal	600138
Binary	10010010100001001010 (20 bits)
Octal	0o2224112
Hexadecimal	0x9284A

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 433 462 693 866 1,299 1,386 2,598 3,031 3,897 4,763 6,062 7,794 9,093 9,526 14,289 18,186 27,279 28,578 33,341 42,867 54,558 66,682 85,734 100,023 200,046 300,069 600,138

Collatz Trajectory (190 steps to reach 1)

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

600,138 300,069 900,208 450,104 225,052 112,526 56,263 168,790 84,395 253,186 126,593 379,780 189,890 94,945 284,836 142,418 71,209 213,628 106,814 53,407 160,222 80,111 240,334 120,167 360,502 180,251 540,754 270,377 811,132 405,566 202,783 608,350 304,175 912,526 456,263 1,368,790 684,395 2,053,186 1,026,593 3,079,780 1,539,890 769,945 2,309,836 1,154,918 577,459 1,732,378 866,189 2,598,568 1,299,284 649,642 324,821 974,464 487,232 243,616 121,808 60,904 30,452 15,226 7,613 22,840

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #600,137 Browse Full Index Next Integer #600,139 →