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Atlas › Integer Profiles › Node 57,765,274

57,765,274

2 × 7 × 29 × 79 × 1801
Deficient Even Composite

57,765,274 factors as 2 × 7 × 29 × 79 × 1801. Its 32 positive divisors give a proper-divisor sum of 46,029,926, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 79 × 1801
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,795,200
Proper Divisor Sum 46,029,926
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57765229 ← → #57765287

Radix Representation

Decimal 57765274
Binary 11011100010110110110011010 (26 bits)
Octal 0o334266632
Hexadecimal 0x3716D9A

Divisor Catalog (32)

1 2 7 14 29 58 79 158 203 406 553 1,106 1,801 2,291 3,602 4,582 12,607 16,037 25,214 32,074 52,229 104,458 142,279 284,558 365,603 731,206 995,953 1,991,906 4,126,091 8,252,182 28,882,637 57,765,274

Collatz Trajectory (93 steps to reach 1)

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

57,765,274 28,882,637 86,647,912 43,323,956 21,661,978 10,830,989 32,492,968 16,246,484 8,123,242 4,061,621 12,184,864 6,092,432 3,046,216 1,523,108 761,554 380,777 1,142,332 571,166 285,583 856,750 428,375 1,285,126 642,563 1,927,690 963,845 2,891,536 1,445,768 722,884 361,442 180,721 542,164 271,082 135,541 406,624 203,312 101,656 50,828 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186

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