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Atlas › Integer Profiles › Node 37,201,010

37,201,010

2 × 5 × 7 × 11 × 48313
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 48313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,486,592
Proper Divisor Sum 46,285,582
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #37201009 ← → #37201037

Radix Representation

Decimal 37201010
Binary 10001101111010010001110010 (26 bits)
Octal 0o215722162
Hexadecimal 0x237A472

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 48,313 96,626 241,565 338,191 483,130 531,443 676,382 1,062,886 1,690,955 2,657,215 3,381,910 3,720,101 5,314,430 7,440,202 18,600,505 37,201,010

Collatz Trajectory (227 steps to reach 1)

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

37,201,010 18,600,505 55,801,516 27,900,758 13,950,379 41,851,138 20,925,569 62,776,708 31,388,354 15,694,177 47,082,532 23,541,266 11,770,633 35,311,900 17,655,950 8,827,975 26,483,926 13,241,963 39,725,890 19,862,945 59,588,836 29,794,418 14,897,209 44,691,628 22,345,814 11,172,907 33,518,722 16,759,361 50,278,084 25,139,042 12,569,521 37,708,564 18,854,282 9,427,141 28,281,424 14,140,712 7,070,356 3,535,178 1,767,589 5,302,768 2,651,384 1,325,692 662,846 331,423 994,270 497,135 1,491,406 745,703 2,237,110 1,118,555 3,355,666 1,677,833 5,033,500 2,516,750 1,258,375 3,775,126 1,887,563 5,662,690 2,831,345 8,494,036

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