λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,107,775
9,107,775
33 × 52 × 103 × 131
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^2 × 103 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,022,720
Proper Divisor Sum 7,914,945
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9107773 ← → #9107797

Radix Representation

Decimal 9107775
Binary 100010101111100100111111 (24 bits)
Octal 0o42574477
Hexadecimal 0x8AF93F

Divisor Catalog (48)

1 3 5 9 15 25 27 45 75 103 131 135 225 309 393 515 655 675 927 1,179 1,545 1,965 2,575 2,781 3,275 3,537 4,635 5,895 7,725 9,825 13,493 13,905 17,685 23,175 29,475 40,479 67,465 69,525 88,425 121,437 202,395 337,325 364,311 607,185 1,011,975 1,821,555 3,035,925 9,107,775

Collatz Trajectory (132 steps to reach 1)

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

9,107,775 27,323,326 13,661,663 40,984,990 20,492,495 61,477,486 30,738,743 92,216,230 46,108,115 138,324,346 69,162,173 207,486,520 103,743,260 51,871,630 25,935,815 77,807,446 38,903,723 116,711,170 58,355,585 175,066,756 87,533,378 43,766,689 131,300,068 65,650,034 32,825,017 98,475,052 49,237,526 24,618,763 73,856,290 36,928,145 110,784,436 55,392,218 27,696,109 83,088,328 41,544,164 20,772,082 10,386,041 31,158,124 15,579,062 7,789,531 23,368,594 11,684,297 35,052,892 17,526,446 8,763,223 26,289,670 13,144,835 39,434,506 19,717,253 59,151,760 29,575,880 14,787,940 7,393,970 3,696,985 11,090,956 5,545,478 2,772,739 8,318,218 4,159,109 12,477,328

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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