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Atlas › Integer Profiles › Node 50,009,238

50,009,238

2 × 34 × 197 × 1567
Abundant Even Composite

50,009,238 factors as 2 × 3^4 × 197 × 1567. Its 40 positive divisors give a proper-divisor sum of 62,689,194, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 197 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 112,698,432
Proper Divisor Sum 62,689,194
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50009233 ← → #50009251

Radix Representation

Decimal 50009238
Binary 10111110110001010010010110 (26 bits)
Octal 0o276612226
Hexadecimal 0x2FB1496

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 197 394 591 1,182 1,567 1,773 3,134 3,546 4,701 5,319 9,402 10,638 14,103 15,957 28,206 31,914 42,309 84,618 126,927 253,854 308,699 617,398 926,097 1,852,194 2,778,291 5,556,582 8,334,873 16,669,746 25,004,619 50,009,238

Collatz Trajectory (160 steps to reach 1)

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

50,009,238 25,004,619 75,013,858 37,506,929 112,520,788 56,260,394 28,130,197 84,390,592 42,195,296 21,097,648 10,548,824 5,274,412 2,637,206 1,318,603 3,955,810 1,977,905 5,933,716 2,966,858 1,483,429 4,450,288 2,225,144 1,112,572 556,286 278,143 834,430 417,215 1,251,646 625,823 1,877,470 938,735 2,816,206 1,408,103 4,224,310 2,112,155 6,336,466 3,168,233 9,504,700 4,752,350 2,376,175 7,128,526 3,564,263 10,692,790 5,346,395 16,039,186 8,019,593 24,058,780 12,029,390 6,014,695 18,044,086 9,022,043 27,066,130 13,533,065 40,599,196 20,299,598 10,149,799 30,449,398 15,224,699 45,674,098 22,837,049 68,511,148

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