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Atlas › Integer Profiles › Node 57,740,259

57,740,259

3 × 19 × 31 × 41 × 797
Deficient Odd Composite

57,740,259 factors as 3 × 19 × 31 × 41 × 797. Its 32 positive divisors give a proper-divisor sum of 28,060,701, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3 × 19 × 31 × 41 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,800,960
Proper Divisor Sum 28,060,701
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57740257 ← → #57740269

Radix Representation

Decimal 57740259
Binary 11011100010000101111100011 (26 bits)
Octal 0o334205743
Hexadecimal 0x3710BE3

Divisor Catalog (32)

1 3 19 31 41 57 93 123 589 779 797 1,271 1,767 2,337 2,391 3,813 15,143 24,149 24,707 32,677 45,429 72,447 74,121 98,031 469,433 620,863 1,012,987 1,408,299 1,862,589 3,038,961 19,246,753 57,740,259

Collatz Trajectory (150 steps to reach 1)

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

57,740,259 173,220,778 86,610,389 259,831,168 129,915,584 64,957,792 32,478,896 16,239,448 8,119,724 4,059,862 2,029,931 6,089,794 3,044,897 9,134,692 4,567,346 2,283,673 6,851,020 3,425,510 1,712,755 5,138,266 2,569,133 7,707,400 3,853,700 1,926,850 963,425 2,890,276 1,445,138 722,569 2,167,708 1,083,854 541,927 1,625,782 812,891 2,438,674 1,219,337 3,658,012 1,829,006 914,503 2,743,510 1,371,755 4,115,266 2,057,633 6,172,900 3,086,450 1,543,225 4,629,676 2,314,838 1,157,419 3,472,258 1,736,129 5,208,388 2,604,194 1,302,097 3,906,292 1,953,146 976,573 2,929,720 1,464,860 732,430 366,215

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