λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,843,530

4,843,530

2 × 33 × 5 × 17939
Abundant Even Composite

4,843,530 factors as 2 × 3^3 × 5 × 17939. Its 32 positive divisors give a proper-divisor sum of 8,073,270, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 17939
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,916,800
Proper Divisor Sum 8,073,270
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4843507 ← → #4843541

Radix Representation

Decimal 4843530
Binary 10010011110100000001010 (23 bits)
Octal 0o22364012
Hexadecimal 0x49E80A

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 17,939 35,878 53,817 89,695 107,634 161,451 179,390 269,085 322,902 484,353 538,170 807,255 968,706 1,614,510 2,421,765 4,843,530

Collatz Trajectory (113 steps to reach 1)

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

4,843,530 2,421,765 7,265,296 3,632,648 1,816,324 908,162 454,081 1,362,244 681,122 340,561 1,021,684 510,842 255,421 766,264 383,132 191,566 95,783 287,350 143,675 431,026 215,513 646,540 323,270 161,635 484,906 242,453 727,360 363,680 181,840 90,920 45,460 22,730 11,365 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,843,529 Browse Full Index Next Integer #4,843,531 →