λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,723,294
9,723,294
2 × 33 × 7 × 29 × 887
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 29 × 887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,574,400
Proper Divisor Sum 15,851,106
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9723283 ← → #9723317

Radix Representation

Decimal 9723294
Binary 100101000101110110011110 (24 bits)
Octal 0o45056636
Hexadecimal 0x945D9E

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 887 1,218 1,566 1,774 1,827 2,661 3,654 5,322 5,481 6,209 7,983 10,962 12,418 15,966 18,627 23,949 25,723 37,254 47,898 51,446 55,881 77,169 111,762 154,338 167,643 180,061 231,507 335,286 360,122 463,014 540,183 694,521 1,080,366 1,389,042

Collatz Trajectory (176 steps to reach 1)

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

9,723,294 4,861,647 14,584,942 7,292,471 21,877,414 10,938,707 32,816,122 16,408,061 49,224,184 24,612,092 12,306,046 6,153,023 18,459,070 9,229,535 27,688,606 13,844,303 41,532,910 20,766,455 62,299,366 31,149,683 93,449,050 46,724,525 140,173,576 70,086,788 35,043,394 17,521,697 52,565,092 26,282,546 13,141,273 39,423,820 19,711,910 9,855,955 29,567,866 14,783,933 44,351,800 22,175,900 11,087,950 5,543,975 16,631,926 8,315,963 24,947,890 12,473,945 37,421,836 18,710,918 9,355,459 28,066,378 14,033,189 42,099,568 21,049,784 10,524,892 5,262,446 2,631,223 7,893,670 3,946,835 11,840,506 5,920,253 17,760,760 8,880,380 4,440,190 2,220,095

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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