2⁴ × 3 × 5 × 13 × 29 × 613

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 29 × 613

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 191,862,720

Proper Divisor Sum 136,398,480

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #55464229 ← → #55464259

Radix Representation

Decimal	55464240
Binary	11010011100101000100110000 (26 bits)
Octal	0o323450460
Hexadecimal	0x34E5130

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 613 624 696 754 780 870 1,040 1,131 1,160 1,226 1,392 1,508

Collatz Trajectory (163 steps to reach 1)

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

55,464,240 27,732,120 13,866,060 6,933,030 3,466,515 10,399,546 5,199,773 15,599,320 7,799,660 3,899,830 1,949,915 5,849,746 2,924,873 8,774,620 4,387,310 2,193,655 6,580,966 3,290,483 9,871,450 4,935,725 14,807,176 7,403,588 3,701,794 1,850,897 5,552,692 2,776,346 1,388,173 4,164,520 2,082,260 1,041,130 520,565 1,561,696 780,848 390,424 195,212 97,606 48,803 146,410 73,205 219,616 109,808 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642

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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