λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,705,720
9,705,720
23 × 3 × 5 × 29 × 2789
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 29 × 2789
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,132,000
Proper Divisor Sum 20,426,280
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9705719 ← → #9705727

Radix Representation

Decimal 9705720
Binary 100101000001100011111000 (24 bits)
Octal 0o45014370
Hexadecimal 0x9418F8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1,160 1,740 2,789 3,480 5,578 8,367 11,156 13,945 16,734 22,312 27,890 33,468 41,835 55,780 66,936 80,881 83,670 111,560 161,762 167,340 242,643 323,524 334,680 404,405 485,286 647,048 808,810 970,572 1,213,215 1,617,620 1,941,144

Collatz Trajectory (238 steps to reach 1)

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

9,705,720 4,852,860 2,426,430 1,213,215 3,639,646 1,819,823 5,459,470 2,729,735 8,189,206 4,094,603 12,283,810 6,141,905 18,425,716 9,212,858 4,606,429 13,819,288 6,909,644 3,454,822 1,727,411 5,182,234 2,591,117 7,773,352 3,886,676 1,943,338 971,669 2,915,008 1,457,504 728,752 364,376 182,188 91,094 45,547 136,642 68,321 204,964 102,482 51,241 153,724 76,862 38,431 115,294 57,647 172,942 86,471 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561

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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