λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,014,192
37,014,192
24 × 33 × 47 × 1823
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 47 × 1823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 108,564,480
Proper Divisor Sum 71,550,288
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #37014191 ← → #37014233

Radix Representation

Decimal 37014192
Binary 10001101001100101010110000 (26 bits)
Octal 0o215145260
Hexadecimal 0x234CAB0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1,128 1,269 1,692 1,823 2,256 2,538 3,384 3,646 5,076 5,469 6,768 7,292 10,152 10,938 14,584 16,407 20,304 21,876 29,168 32,814 43,752 49,221 65,628 85,681 87,504 98,442 131,256 171,362 196,884 257,043

Collatz Trajectory (196 steps to reach 1)

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

37,014,192 18,507,096 9,253,548 4,626,774 2,313,387 6,940,162 3,470,081 10,410,244 5,205,122 2,602,561 7,807,684 3,903,842 1,951,921 5,855,764 2,927,882 1,463,941 4,391,824 2,195,912 1,097,956 548,978 274,489 823,468 411,734 205,867 617,602 308,801 926,404 463,202 231,601 694,804 347,402 173,701 521,104 260,552 130,276 65,138 32,569 97,708 48,854 24,427 73,282 36,641 109,924 54,962 27,481 82,444 41,222 20,611 61,834 30,917 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087

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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