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Atlas › Integer Profiles › Node 57,776,180

57,776,180

22 × 5 × 7 × 11 × 37517
Abundant Even Composite

57,776,180 factors as 2^2 × 5 × 7 × 11 × 37517. Its 48 positive divisors give a proper-divisor sum of 93,496,396, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 37517
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 151,272,576
Proper Divisor Sum 93,496,396
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57776167 ← → #57776189

Radix Representation

Decimal 57776180
Binary 11011100011001100000110100 (26 bits)
Octal 0o334314064
Hexadecimal 0x3719834

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 37,517 75,034 150,068 187,585 262,619 375,170 412,687 525,238 750,340 825,374 1,050,476 1,313,095 1,650,748 2,063,435 2,626,190 2,888,809 4,126,870 5,252,380 5,777,618 8,253,740 11,555,236 14,444,045 28,888,090 57,776,180

Collatz Trajectory (119 steps to reach 1)

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

57,776,180 28,888,090 14,444,045 43,332,136 21,666,068 10,833,034 5,416,517 16,249,552 8,124,776 4,062,388 2,031,194 1,015,597 3,046,792 1,523,396 761,698 380,849 1,142,548 571,274 285,637 856,912 428,456 214,228 107,114 53,557 160,672 80,336 40,168 20,084 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

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