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Atlas › Integer Profiles › Node 59,637,897

59,637,897

33 × 11 × 113 × 1777
Deficient Odd Composite

59,637,897 factors as 3^3 × 11 × 113 × 1777. Its 32 positive divisors give a proper-divisor sum of 37,654,263, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 113 × 1777
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 97,292,160
Proper Divisor Sum 37,654,263
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #59637889 ← → #59637899

Radix Representation

Decimal 59637897
Binary 11100011100000000010001001 (26 bits)
Octal 0o343400211
Hexadecimal 0x38E0089

Divisor Catalog (32)

1 3 9 11 27 33 99 113 297 339 1,017 1,243 1,777 3,051 3,729 5,331 11,187 15,993 19,547 33,561 47,979 58,641 175,923 200,801 527,769 602,403 1,807,209 2,208,811 5,421,627 6,626,433 19,879,299 59,637,897

Collatz Trajectory (189 steps to reach 1)

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

59,637,897 178,913,692 89,456,846 44,728,423 134,185,270 67,092,635 201,277,906 100,638,953 301,916,860 150,958,430 75,479,215 226,437,646 113,218,823 339,656,470 169,828,235 509,484,706 254,742,353 764,227,060 382,113,530 191,056,765 573,170,296 286,585,148 143,292,574 71,646,287 214,938,862 107,469,431 322,408,294 161,204,147 483,612,442 241,806,221 725,418,664 362,709,332 181,354,666 90,677,333 272,032,000 136,016,000 68,008,000 34,004,000 17,002,000 8,501,000 4,250,500 2,125,250 1,062,625 3,187,876 1,593,938 796,969 2,390,908 1,195,454 597,727 1,793,182 896,591 2,689,774 1,344,887 4,034,662 2,017,331 6,051,994 3,025,997 9,077,992 4,538,996 2,269,498

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