λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,007,708

50,007,708

22 × 32 × 397 × 3499
Abundant Even Composite

50,007,708 factors as 2^2 × 3^2 × 397 × 3499. Its 36 positive divisors give a proper-divisor sum of 76,755,292, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 397 × 3499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 126,763,000
Proper Divisor Sum 76,755,292
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50007679 ← → #50007709

Radix Representation

Decimal 50007708
Binary 10111110110000111010011100 (26 bits)
Octal 0o276607234
Hexadecimal 0x2FB0E9C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 397 794 1,191 1,588 2,382 3,499 3,573 4,764 6,998 7,146 10,497 13,996 14,292 20,994 31,491 41,988 62,982 125,964 1,389,103 2,778,206 4,167,309 5,556,412 8,334,618 12,501,927 16,669,236 25,003,854 50,007,708

Collatz Trajectory (80 steps to reach 1)

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

50,007,708 25,003,854 12,501,927 37,505,782 18,752,891 56,258,674 28,129,337 84,388,012 42,194,006 21,097,003 63,291,010 31,645,505 94,936,516 47,468,258 23,734,129 71,202,388 35,601,194 17,800,597 53,401,792 26,700,896 13,350,448 6,675,224 3,337,612 1,668,806 834,403 2,503,210 1,251,605 3,754,816 1,877,408 938,704 469,352 234,676 117,338 58,669 176,008 88,004 44,002 22,001 66,004 33,002 16,501 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #50,007,707 Browse Full Index Next Integer #50,007,709 →