λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,109,815
9,109,815
3 × 5 × 11 × 13 × 31 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 13 × 31 × 137
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,805,312
Proper Divisor Sum 8,695,497
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9109813 ← → #9109843

Radix Representation

Decimal 9109815
Binary 100010110000000100110111 (24 bits)
Octal 0o42600467
Hexadecimal 0x8B0137

Divisor Catalog (60 of 64)

1 3 5 11 13 15 31 33 39 55 65 93 137 143 155 165 195 341 403 411 429 465 685 715 1,023 1,209 1,507 1,705 1,781 2,015 2,055 2,145 4,247 4,433 4,521 5,115 5,343 6,045 7,535 8,905 12,741 13,299 19,591 21,235 22,165 22,605 26,715 46,717 55,211 58,773 63,705 66,495 97,955 140,151 165,633 233,585 276,055 293,865 607,321 700,755

Collatz Trajectory (163 steps to reach 1)

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

9,109,815 27,329,446 13,664,723 40,994,170 20,497,085 61,491,256 30,745,628 15,372,814 7,686,407 23,059,222 11,529,611 34,588,834 17,294,417 51,883,252 25,941,626 12,970,813 38,912,440 19,456,220 9,728,110 4,864,055 14,592,166 7,296,083 21,888,250 10,944,125 32,832,376 16,416,188 8,208,094 4,104,047 12,312,142 6,156,071 18,468,214 9,234,107 27,702,322 13,851,161 41,553,484 20,776,742 10,388,371 31,165,114 15,582,557 46,747,672 23,373,836 11,686,918 5,843,459 17,530,378 8,765,189 26,295,568 13,147,784 6,573,892 3,286,946 1,643,473 4,930,420 2,465,210 1,232,605 3,697,816 1,848,908 924,454 462,227 1,386,682 693,341 2,080,024

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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