λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,782,825
28,782,825
3 × 52 × 359 × 1069
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 359 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 47,764,800
Proper Divisor Sum 18,981,975
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #28782811 ← → #28782827

Radix Representation

Decimal 28782825
Binary 1101101110011000011101001 (25 bits)
Octal 0o155630351
Hexadecimal 0x1B730E9

Divisor Catalog (24)

1 3 5 15 25 75 359 1,069 1,077 1,795 3,207 5,345 5,385 8,975 16,035 26,725 26,925 80,175 383,771 1,151,313 1,918,855 5,756,565 9,594,275 28,782,825

Collatz Trajectory (144 steps to reach 1)

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

28,782,825 86,348,476 43,174,238 21,587,119 64,761,358 32,380,679 97,142,038 48,571,019 145,713,058 72,856,529 218,569,588 109,284,794 54,642,397 163,927,192 81,963,596 40,981,798 20,490,899 61,472,698 30,736,349 92,209,048 46,104,524 23,052,262 11,526,131 34,578,394 17,289,197 51,867,592 25,933,796 12,966,898 6,483,449 19,450,348 9,725,174 4,862,587 14,587,762 7,293,881 21,881,644 10,940,822 5,470,411 16,411,234 8,205,617 24,616,852 12,308,426 6,154,213 18,462,640 9,231,320 4,615,660 2,307,830 1,153,915 3,461,746 1,730,873 5,192,620 2,596,310 1,298,155 3,894,466 1,947,233 5,841,700 2,920,850 1,460,425 4,381,276 2,190,638 1,095,319

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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