λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,200,748
37,200,748
22 × 13 × 673 × 1063
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 673 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 70,279,328
Proper Divisor Sum 33,078,580
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #37200733 ← → #37200763

Radix Representation

Decimal 37200748
Binary 10001101111010001101101100 (26 bits)
Octal 0o215721554
Hexadecimal 0x237A36C

Divisor Catalog (24)

1 2 4 13 26 52 673 1,063 1,346 2,126 2,692 4,252 8,749 13,819 17,498 27,638 34,996 55,276 715,399 1,430,798 2,861,596 9,300,187 18,600,374 37,200,748

Collatz Trajectory (165 steps to reach 1)

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

37,200,748 18,600,374 9,300,187 27,900,562 13,950,281 41,850,844 20,925,422 10,462,711 31,388,134 15,694,067 47,082,202 23,541,101 70,623,304 35,311,652 17,655,826 8,827,913 26,483,740 13,241,870 6,620,935 19,862,806 9,931,403 29,794,210 14,897,105 44,691,316 22,345,658 11,172,829 33,518,488 16,759,244 8,379,622 4,189,811 12,569,434 6,284,717 18,854,152 9,427,076 4,713,538 2,356,769 7,070,308 3,535,154 1,767,577 5,302,732 2,651,366 1,325,683 3,977,050 1,988,525 5,965,576 2,982,788 1,491,394 745,697 2,237,092 1,118,546 559,273 1,677,820 838,910 419,455 1,258,366 629,183 1,887,550 943,775 2,831,326 1,415,663

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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