λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,700,780
4,700,780
22 × 5 × 7 × 33577
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,282,208
Proper Divisor Sum 6,581,428
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4700777 ← → #4700783

Radix Representation

Decimal 4700780
Binary 10001111011101001101100 (23 bits)
Octal 0o21735154
Hexadecimal 0x47BA6C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 33,577 67,154 134,308 167,885 235,039 335,770 470,078 671,540 940,156 1,175,195 2,350,390 4,700,780

Collatz Trajectory (299 steps to reach 1)

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

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 6,439,918

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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