λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,743,370

57,743,370

2 × 32 × 5 × 311 × 2063
Abundant Even Composite

57,743,370 factors as 2 × 3^2 × 5 × 311 × 2063. Its 48 positive divisors give a proper-divisor sum of 92,945,142, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 311 × 2063
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 150,688,512
Proper Divisor Sum 92,945,142
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57743369 ← → #57743419

Radix Representation

Decimal 57743370
Binary 11011100010001100000001010 (26 bits)
Octal 0o334214012
Hexadecimal 0x371180A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 311 622 933 1,555 1,866 2,063 2,799 3,110 4,126 4,665 5,598 6,189 9,330 10,315 12,378 13,995 18,567 20,630 27,990 30,945 37,134 61,890 92,835 185,670 641,593 1,283,186 1,924,779 3,207,965 3,849,558 5,774,337 6,415,930 9,623,895 11,548,674 19,247,790 28,871,685 57,743,370

Collatz Trajectory (181 steps to reach 1)

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

57,743,370 28,871,685 86,615,056 43,307,528 21,653,764 10,826,882 5,413,441 16,240,324 8,120,162 4,060,081 12,180,244 6,090,122 3,045,061 9,135,184 4,567,592 2,283,796 1,141,898 570,949 1,712,848 856,424 428,212 214,106 107,053 321,160 160,580 80,290 40,145 120,436 60,218 30,109 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,743,369 Browse Full Index Next Integer #57,743,371 →