λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,456,100
37,456,100
22 × 52 × 11 × 17 × 2003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 17 × 2003
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 93,931,488
Proper Divisor Sum 56,475,388
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #37456079 ← → #37456103

Radix Representation

Decimal 37456100
Binary 10001110111000100011100100 (26 bits)
Octal 0o216704344
Hexadecimal 0x23B88E4

Divisor Catalog (60 of 72)

1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1,100 1,700 1,870 2,003 3,740 4,006 4,675 8,012 9,350 10,015 18,700 20,030 22,033 34,051 40,060 44,066 50,075 68,102 88,132 100,150 110,165 136,204 170,255 200,300 220,330 340,510 374,561 440,660 550,825 681,020 749,122

Collatz Trajectory (183 steps to reach 1)

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

37,456,100 18,728,050 9,364,025 28,092,076 14,046,038 7,023,019 21,069,058 10,534,529 31,603,588 15,801,794 7,900,897 23,702,692 11,851,346 5,925,673 17,777,020 8,888,510 4,444,255 13,332,766 6,666,383 19,999,150 9,999,575 29,998,726 14,999,363 44,998,090 22,499,045 67,497,136 33,748,568 16,874,284 8,437,142 4,218,571 12,655,714 6,327,857 18,983,572 9,491,786 4,745,893 14,237,680 7,118,840 3,559,420 1,779,710 889,855 2,669,566 1,334,783 4,004,350 2,002,175 6,006,526 3,003,263 9,009,790 4,504,895 13,514,686 6,757,343 20,272,030 10,136,015 30,408,046 15,204,023 45,612,070 22,806,035 68,418,106 34,209,053 102,627,160 51,313,580

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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