λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,487,545
12,487,545
32 × 5 × 7 × 29 × 1367
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 29 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,608,960
Proper Divisor Sum 13,121,415
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12487543 ← → #12487547

Radix Representation

Decimal 12487545
Binary 101111101000101101111001 (24 bits)
Octal 0o57505571
Hexadecimal 0xBE8B79

Divisor Catalog (48)

1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1,015 1,305 1,367 1,827 3,045 4,101 6,835 9,135 9,569 12,303 20,505 28,707 39,643 47,845 61,515 86,121 118,929 143,535 198,215 277,501 356,787 430,605 594,645 832,503 1,387,505 1,783,935 2,497,509 4,162,515 12,487,545

Collatz Trajectory (140 steps to reach 1)

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

12,487,545 37,462,636 18,731,318 9,365,659 28,096,978 14,048,489 42,145,468 21,072,734 10,536,367 31,609,102 15,804,551 47,413,654 23,706,827 71,120,482 35,560,241 106,680,724 53,340,362 26,670,181 80,010,544 40,005,272 20,002,636 10,001,318 5,000,659 15,001,978 7,500,989 22,502,968 11,251,484 5,625,742 2,812,871 8,438,614 4,219,307 12,657,922 6,328,961 18,986,884 9,493,442 4,746,721 14,240,164 7,120,082 3,560,041 10,680,124 5,340,062 2,670,031 8,010,094 4,005,047 12,015,142 6,007,571 18,022,714 9,011,357 27,034,072 13,517,036 6,758,518 3,379,259 10,137,778 5,068,889 15,206,668 7,603,334 3,801,667 11,405,002 5,702,501 17,107,504

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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