λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,687,615
9,687,615
3 × 5 × 7 × 257 × 359
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 257 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,832,960
Proper Divisor Sum 8,145,345
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9687589 ← → #9687641

Radix Representation

Decimal 9687615
Binary 100100111101001000111111 (24 bits)
Octal 0o44751077
Hexadecimal 0x93D23F

Divisor Catalog (32)

1 3 5 7 15 21 35 105 257 359 771 1,077 1,285 1,795 1,799 2,513 3,855 5,385 5,397 7,539 8,995 12,565 26,985 37,695 92,263 276,789 461,315 645,841 1,383,945 1,937,523 3,229,205 9,687,615

Collatz Trajectory (194 steps to reach 1)

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

9,687,615 29,062,846 14,531,423 43,594,270 21,797,135 65,391,406 32,695,703 98,087,110 49,043,555 147,130,666 73,565,333 220,696,000 110,348,000 55,174,000 27,587,000 13,793,500 6,896,750 3,448,375 10,345,126 5,172,563 15,517,690 7,758,845 23,276,536 11,638,268 5,819,134 2,909,567 8,728,702 4,364,351 13,093,054 6,546,527 19,639,582 9,819,791 29,459,374 14,729,687 44,189,062 22,094,531 66,283,594 33,141,797 99,425,392 49,712,696 24,856,348 12,428,174 6,214,087 18,642,262 9,321,131 27,963,394 13,981,697 41,945,092 20,972,546 10,486,273 31,458,820 15,729,410 7,864,705 23,594,116 11,797,058 5,898,529 17,695,588 8,847,794 4,423,897 13,271,692

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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