λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,166,689
9,166,689
35 × 7 × 17 × 317
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7 × 17 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,668,288
Proper Divisor Sum 7,501,599
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9166687 ← → #9166693

Radix Representation

Decimal 9166689
Binary 100010111101111101100001 (24 bits)
Octal 0o42757541
Hexadecimal 0x8BDF61

Divisor Catalog (48)

1 3 7 9 17 21 27 51 63 81 119 153 189 243 317 357 459 567 951 1,071 1,377 1,701 2,219 2,853 3,213 4,131 5,389 6,657 8,559 9,639 16,167 19,971 25,677 28,917 37,723 48,501 59,913 77,031 113,169 145,503 179,739 339,507 436,509 539,217 1,018,521 1,309,527 3,055,563 9,166,689

Collatz Trajectory (287 steps to reach 1)

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

9,166,689 27,500,068 13,750,034 6,875,017 20,625,052 10,312,526 5,156,263 15,468,790 7,734,395 23,203,186 11,601,593 34,804,780 17,402,390 8,701,195 26,103,586 13,051,793 39,155,380 19,577,690 9,788,845 29,366,536 14,683,268 7,341,634 3,670,817 11,012,452 5,506,226 2,753,113 8,259,340 4,129,670 2,064,835 6,194,506 3,097,253 9,291,760 4,645,880 2,322,940 1,161,470 580,735 1,742,206 871,103 2,613,310 1,306,655 3,919,966 1,959,983 5,879,950 2,939,975 8,819,926 4,409,963 13,229,890 6,614,945 19,844,836 9,922,418 4,961,209 14,883,628 7,441,814 3,720,907 11,162,722 5,581,361 16,744,084 8,372,042 4,186,021 12,558,064

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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