λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,105
37,101,105
33 × 5 × 41 × 6703
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 41 × 6703
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,576,320
Proper Divisor Sum 30,475,215
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #37101101 ← → #37101133

Radix Representation

Decimal 37101105
Binary 10001101100001111000110001 (26 bits)
Octal 0o215417061
Hexadecimal 0x2361E31

Divisor Catalog (32)

1 3 5 9 15 27 41 45 123 135 205 369 615 1,107 1,845 5,535 6,703 20,109 33,515 60,327 100,545 180,981 274,823 301,635 824,469 904,905 1,374,115 2,473,407 4,122,345 7,420,221 12,367,035 37,101,105

Collatz Trajectory (302 steps to reach 1)

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

37,101,105 111,303,316 55,651,658 27,825,829 83,477,488 41,738,744 20,869,372 10,434,686 5,217,343 15,652,030 7,826,015 23,478,046 11,739,023 35,217,070 17,608,535 52,825,606 26,412,803 79,238,410 39,619,205 118,857,616 59,428,808 29,714,404 14,857,202 7,428,601 22,285,804 11,142,902 5,571,451 16,714,354 8,357,177 25,071,532 12,535,766 6,267,883 18,803,650 9,401,825 28,205,476 14,102,738 7,051,369 21,154,108 10,577,054 5,288,527 15,865,582 7,932,791 23,798,374 11,899,187 35,697,562 17,848,781 53,546,344 26,773,172 13,386,586 6,693,293 20,079,880 10,039,940 5,019,970 2,509,985 7,529,956 3,764,978 1,882,489 5,647,468 2,823,734 1,411,867

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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