λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,687,654
9,687,654
2 × 33 × 17 × 61 × 173
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 61 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,302,080
Proper Divisor Sum 13,614,426
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9687647 ← → #9687661

Radix Representation

Decimal 9687654
Binary 100100111101001001100110 (24 bits)
Octal 0o44751146
Hexadecimal 0x93D266

Divisor Catalog (60 of 64)

1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 173 183 306 346 366 459 519 549 918 1,037 1,038 1,098 1,557 1,647 2,074 2,941 3,111 3,114 3,294 4,671 5,882 6,222 8,823 9,333 9,342 10,553 17,646 18,666 21,106 26,469 27,999 31,659 52,938 55,998 63,318 79,407 94,977 158,814 179,401 189,954 284,931 358,802 538,203 569,862 1,076,406

Collatz Trajectory (207 steps to reach 1)

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

9,687,654 4,843,827 14,531,482 7,265,741 21,797,224 10,898,612 5,449,306 2,724,653 8,173,960 4,086,980 2,043,490 1,021,745 3,065,236 1,532,618 766,309 2,298,928 1,149,464 574,732 287,366 143,683 431,050 215,525 646,576 323,288 161,644 80,822 40,411 121,234 60,617 181,852 90,926 45,463 136,390 68,195 204,586 102,293 306,880 153,440 76,720 38,360 19,180 9,590 4,795 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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