λ
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Atlas › Integer Profiles › Node 57,775,280

57,775,280

24 × 5 × 337 × 2143
Abundant Even Composite

57,775,280 factors as 2^4 × 5 × 337 × 2143. Its 40 positive divisors give a proper-divisor sum of 77,013,712, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 337 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 134,788,992
Proper Divisor Sum 77,013,712
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57775271 ← → #57775283

Radix Representation

Decimal 57775280
Binary 11011100011001010010110000 (26 bits)
Octal 0o334312260
Hexadecimal 0x37194B0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 337 674 1,348 1,685 2,143 2,696 3,370 4,286 5,392 6,740 8,572 10,715 13,480 17,144 21,430 26,960 34,288 42,860 85,720 171,440 722,191 1,444,382 2,888,764 3,610,955 5,777,528 7,221,910 11,555,056 14,443,820 28,887,640 57,775,280

Collatz Trajectory (238 steps to reach 1)

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

57,775,280 28,887,640 14,443,820 7,221,910 3,610,955 10,832,866 5,416,433 16,249,300 8,124,650 4,062,325 12,186,976 6,093,488 3,046,744 1,523,372 761,686 380,843 1,142,530 571,265 1,713,796 856,898 428,449 1,285,348 642,674 321,337 964,012 482,006 241,003 723,010 361,505 1,084,516 542,258 271,129 813,388 406,694 203,347 610,042 305,021 915,064 457,532 228,766 114,383 343,150 171,575 514,726 257,363 772,090 386,045 1,158,136 579,068 289,534 144,767 434,302 217,151 651,454 325,727 977,182 488,591 1,465,774 732,887 2,198,662

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