λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,745,208
37,745,208
23 × 32 × 232 × 991
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23^2 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 106,972,320
Proper Divisor Sum 69,227,112
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #37745207 ← → #37745237

Radix Representation

Decimal 37745208
Binary 10001111111111001000111000 (26 bits)
Octal 0o217771070
Hexadecimal 0x23FF238

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 991 1,058 1,587 1,656 1,982 2,116 2,973 3,174 3,964 4,232 4,761 5,946 6,348 7,928 8,919 9,522 11,892 12,696 17,838 19,044 22,793 23,784 35,676 38,088 45,586 68,379 71,352 91,172 136,758 182,344 205,137 273,516 410,274 524,239 547,032 820,548

Collatz Trajectory (178 steps to reach 1)

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

37,745,208 18,872,604 9,436,302 4,718,151 14,154,454 7,077,227 21,231,682 10,615,841 31,847,524 15,923,762 7,961,881 23,885,644 11,942,822 5,971,411 17,914,234 8,957,117 26,871,352 13,435,676 6,717,838 3,358,919 10,076,758 5,038,379 15,115,138 7,557,569 22,672,708 11,336,354 5,668,177 17,004,532 8,502,266 4,251,133 12,753,400 6,376,700 3,188,350 1,594,175 4,782,526 2,391,263 7,173,790 3,586,895 10,760,686 5,380,343 16,141,030 8,070,515 24,211,546 12,105,773 36,317,320 18,158,660 9,079,330 4,539,665 13,618,996 6,809,498 3,404,749 10,214,248 5,107,124 2,553,562 1,276,781 3,830,344 1,915,172 957,586 478,793 1,436,380

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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