λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,999,759
9,999,759
3 × 7 × 11 × 73 × 593
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 73 × 593
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,879,104
Proper Divisor Sum 6,879,345
Digit Sum / Digital Root 57 (Root: 3)
Adjacent Primes #9999749 ← → #9999761

Radix Representation

Decimal 9999759
Binary 100110001001010110001111 (24 bits)
Octal 0o46112617
Hexadecimal 0x98958F

Divisor Catalog (32)

1 3 7 11 21 33 73 77 219 231 511 593 803 1,533 1,779 2,409 4,151 5,621 6,523 12,453 16,863 19,569 43,289 45,661 129,867 136,983 303,023 476,179 909,069 1,428,537 3,333,253 9,999,759

Collatz Trajectory (189 steps to reach 1)

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

9,999,759 29,999,278 14,999,639 44,998,918 22,499,459 67,498,378 33,749,189 101,247,568 50,623,784 25,311,892 12,655,946 6,327,973 18,983,920 9,491,960 4,745,980 2,372,990 1,186,495 3,559,486 1,779,743 5,339,230 2,669,615 8,008,846 4,004,423 12,013,270 6,006,635 18,019,906 9,009,953 27,029,860 13,514,930 6,757,465 20,272,396 10,136,198 5,068,099 15,204,298 7,602,149 22,806,448 11,403,224 5,701,612 2,850,806 1,425,403 4,276,210 2,138,105 6,414,316 3,207,158 1,603,579 4,810,738 2,405,369 7,216,108 3,608,054 1,804,027 5,412,082 2,706,041 8,118,124 4,059,062 2,029,531 6,088,594 3,044,297 9,132,892 4,566,446 2,283,223

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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