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Atlas › Integer Profiles › Node 39,375,018

39,375,018

2 × 33 × 571 × 1277
Abundant Even Composite

39,375,018 factors as 2 × 3^3 × 571 × 1277. Its 32 positive divisors give a proper-divisor sum of 48,346,902, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 571 × 1277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,721,920
Proper Divisor Sum 48,346,902
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #39375001 ← → #39375019

Radix Representation

Decimal 39375018
Binary 10010110001101000010101010 (26 bits)
Octal 0o226150252
Hexadecimal 0x258D0AA

Divisor Catalog (32)

1 2 3 6 9 18 27 54 571 1,142 1,277 1,713 2,554 3,426 3,831 5,139 7,662 10,278 11,493 15,417 22,986 30,834 34,479 68,958 729,167 1,458,334 2,187,501 4,375,002 6,562,503 13,125,006 19,687,509 39,375,018

Collatz Trajectory (90 steps to reach 1)

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

39,375,018 19,687,509 59,062,528 29,531,264 14,765,632 7,382,816 3,691,408 1,845,704 922,852 461,426 230,713 692,140 346,070 173,035 519,106 259,553 778,660 389,330 194,665 583,996 291,998 145,999 437,998 218,999 656,998 328,499 985,498 492,749 1,478,248 739,124 369,562 184,781 554,344 277,172 138,586 69,293 207,880 103,940 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632

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