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Atlas › Integer Profiles › Node 37,101,885

37,101,885

3 × 5 × 31 × 73 × 1093
Deficient Odd Composite

37,101,885 factors as 3 × 5 × 31 × 73 × 1093. Its 32 positive divisors give a proper-divisor sum of 25,072,323, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 73 × 1093
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,174,208
Proper Divisor Sum 25,072,323
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #37101881 ← → #37101899

Radix Representation

Decimal 37101885
Binary 10001101100010000100111101 (26 bits)
Octal 0o215420475
Hexadecimal 0x236213D

Divisor Catalog (32)

1 3 5 15 31 73 93 155 219 365 465 1,093 1,095 2,263 3,279 5,465 6,789 11,315 16,395 33,883 33,945 79,789 101,649 169,415 239,367 398,945 508,245 1,196,835 2,473,459 7,420,377 12,367,295 37,101,885

Collatz Trajectory (165 steps to reach 1)

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

37,101,885 111,305,656 55,652,828 27,826,414 13,913,207 41,739,622 20,869,811 62,609,434 31,304,717 93,914,152 46,957,076 23,478,538 11,739,269 35,217,808 17,608,904 8,804,452 4,402,226 2,201,113 6,603,340 3,301,670 1,650,835 4,952,506 2,476,253 7,428,760 3,714,380 1,857,190 928,595 2,785,786 1,392,893 4,178,680 2,089,340 1,044,670 522,335 1,567,006 783,503 2,350,510 1,175,255 3,525,766 1,762,883 5,288,650 2,644,325 7,932,976 3,966,488 1,983,244 991,622 495,811 1,487,434 743,717 2,231,152 1,115,576 557,788 278,894 139,447 418,342 209,171 627,514 313,757 941,272 470,636 235,318

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