λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,012,905
10,012,905
32 × 5 × 72 × 19 × 239
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 19 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 21,340,800
Proper Divisor Sum 11,327,895
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10012901 ← → #10012913

Radix Representation

Decimal 10012905
Binary 100110001100100011101001 (24 bits)
Octal 0o46144351
Hexadecimal 0x98C8E9

Divisor Catalog (60 of 72)

1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 239 245 285 315 399 441 665 717 735 855 931 1,195 1,197 1,673 1,995 2,151 2,205 2,793 3,585 4,541 4,655 5,019 5,985 8,365 8,379 10,755 11,711 13,623 13,965 15,057 22,705 25,095 31,787 35,133 40,869 41,895 58,555 68,115 75,285 95,361 105,399 158,935

Collatz Trajectory (344 steps to reach 1)

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

10,012,905 30,038,716 15,019,358 7,509,679 22,529,038 11,264,519 33,793,558 16,896,779 50,690,338 25,345,169 76,035,508 38,017,754 19,008,877 57,026,632 28,513,316 14,256,658 7,128,329 21,384,988 10,692,494 5,346,247 16,038,742 8,019,371 24,058,114 12,029,057 36,087,172 18,043,586 9,021,793 27,065,380 13,532,690 6,766,345 20,299,036 10,149,518 5,074,759 15,224,278 7,612,139 22,836,418 11,418,209 34,254,628 17,127,314 8,563,657 25,690,972 12,845,486 6,422,743 19,268,230 9,634,115 28,902,346 14,451,173 43,353,520 21,676,760 10,838,380 5,419,190 2,709,595 8,128,786 4,064,393 12,193,180 6,096,590 3,048,295 9,144,886 4,572,443 13,717,330

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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