2⁶ × 3⁴ × 17 × 47

Prime Factor Structure

Factorization String 2^6 × 3^4 × 17 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 140

Divisor Sum (σ) 13,277,088

Proper Divisor Sum 9,135,072

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4142011 ← → #4142023

Radix Representation

Decimal	4142016
Binary	1111110011001111000000 (22 bits)
Octal	0o17631700
Hexadecimal	0x3F33C0

Divisor Catalog (60 of 140)

1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 47 48 51 54 64 68 72 81 94 96 102 108 136 141 144 153 162 188 192 204 216 272 282 288 306 324 376 408 423 432 459 544 564 576 612 648 752 799 816 846 864 918 1,088 1,128

Collatz Trajectory (198 steps to reach 1)

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

4,142,016 2,071,008 1,035,504 517,752 258,876 129,438 64,719 194,158 97,079 291,238 145,619 436,858 218,429 655,288 327,644 163,822 81,911 245,734 122,867 368,602 184,301 552,904 276,452 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731

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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