2⁴ × 5 × 7 × 13 × 47

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 999,936

Proper Divisor Sum 657,776

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #342143 ← → #342179

Radix Representation

Decimal	342160
Binary	1010011100010010000 (19 bits)
Octal	0o1234220
Hexadecimal	0x53890

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 47 52 56 65 70 80 91 94 104 112 130 140 182 188 208 235 260 280 329 364 376 455 470 520 560 611 658 728 752 910 940 1,040 1,222 1,316 1,456 1,645 1,820 1,880 2,444 2,632 3,055 3,290 3,640 3,760 4,277

Collatz Trajectory (104 steps to reach 1)

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

342,160 171,080 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024

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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