λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,745,188
37,745,188
22 × 13 × 547 × 1327
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 547 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 71,318,912
Proper Divisor Sum 33,573,724
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #37745177 ← → #37745189

Radix Representation

Decimal 37745188
Binary 10001111111111001000100100 (26 bits)
Octal 0o217771044
Hexadecimal 0x23FF224

Divisor Catalog (24)

1 2 4 13 26 52 547 1,094 1,327 2,188 2,654 5,308 7,111 14,222 17,251 28,444 34,502 69,004 725,869 1,451,738 2,903,476 9,436,297 18,872,594 37,745,188

Collatz Trajectory (134 steps to reach 1)

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

37,745,188 18,872,594 9,436,297 28,308,892 14,154,446 7,077,223 21,231,670 10,615,835 31,847,506 15,923,753 47,771,260 23,885,630 11,942,815 35,828,446 17,914,223 53,742,670 26,871,335 80,614,006 40,307,003 120,921,010 60,460,505 181,381,516 90,690,758 45,345,379 136,036,138 68,018,069 204,054,208 102,027,104 51,013,552 25,506,776 12,753,388 6,376,694 3,188,347 9,565,042 4,782,521 14,347,564 7,173,782 3,586,891 10,760,674 5,380,337 16,141,012 8,070,506 4,035,253 12,105,760 6,052,880 3,026,440 1,513,220 756,610 378,305 1,134,916 567,458 283,729 851,188 425,594 212,797 638,392 319,196 159,598 79,799 239,398

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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