λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,303,315
9,303,315
3 × 5 × 7 × 251 × 353
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 251 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,127,936
Proper Divisor Sum 7,824,621
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9303289 ← → #9303319

Radix Representation

Decimal 9303315
Binary 100011011111010100010011 (24 bits)
Octal 0o43372423
Hexadecimal 0x8DF513

Divisor Catalog (32)

1 3 5 7 15 21 35 105 251 353 753 1,059 1,255 1,757 1,765 2,471 3,765 5,271 5,295 7,413 8,785 12,355 26,355 37,065 88,603 265,809 443,015 620,221 1,329,045 1,860,663 3,101,105 9,303,315

Collatz Trajectory (331 steps to reach 1)

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

9,303,315 27,909,946 13,954,973 41,864,920 20,932,460 10,466,230 5,233,115 15,699,346 7,849,673 23,549,020 11,774,510 5,887,255 17,661,766 8,830,883 26,492,650 13,246,325 39,738,976 19,869,488 9,934,744 4,967,372 2,483,686 1,241,843 3,725,530 1,862,765 5,588,296 2,794,148 1,397,074 698,537 2,095,612 1,047,806 523,903 1,571,710 785,855 2,357,566 1,178,783 3,536,350 1,768,175 5,304,526 2,652,263 7,956,790 3,978,395 11,935,186 5,967,593 17,902,780 8,951,390 4,475,695 13,427,086 6,713,543 20,140,630 10,070,315 30,210,946 15,105,473 45,316,420 22,658,210 11,329,105 33,987,316 16,993,658 8,496,829 25,490,488 12,745,244

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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