λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,401,560
9,401,560
23 × 5 × 7 × 33577
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 33577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,176,160
Proper Divisor Sum 14,774,600
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9401519 ← → #9401569

Radix Representation

Decimal 9401560
Binary 100011110111010011011000 (24 bits)
Octal 0o43672330
Hexadecimal 0x8F74D8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 33,577 67,154 134,308 167,885 235,039 268,616 335,770 470,078 671,540 940,156 1,175,195 1,343,080 1,880,312 2,350,390 4,700,780 9,401,560

Collatz Trajectory (300 steps to reach 1)

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

9,401,560 4,700,780 2,350,390 1,175,195 3,525,586 1,762,793 5,288,380 2,644,190 1,322,095 3,966,286 1,983,143 5,949,430 2,974,715 8,924,146 4,462,073 13,386,220 6,693,110 3,346,555 10,039,666 5,019,833 15,059,500 7,529,750 3,764,875 11,294,626 5,647,313 16,941,940 8,470,970 4,235,485 12,706,456 6,353,228 3,176,614 1,588,307 4,764,922 2,382,461 7,147,384 3,573,692 1,786,846 893,423 2,680,270 1,340,135 4,020,406 2,010,203 6,030,610 3,015,305 9,045,916 4,522,958 2,261,479 6,784,438 3,392,219 10,176,658 5,088,329 15,264,988 7,632,494 3,816,247 11,448,742 5,724,371 17,173,114 8,586,557 25,759,672 12,879,836

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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