2 × 3 × 5 × 7 × 13 × 17

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 13 × 17

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 145,152

Proper Divisor Sum 98,742

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #46399 ← → #46411

Radix Representation

Decimal	46410
Binary	1011010101001010 (16 bits)
Octal	0o132512
Hexadecimal	0xB54A

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 238 255 273 357 390 442 455 510 546 595 663 714 910 1,105 1,190 1,326 1,365 1,547 1,785 2,210 2,730 3,094 3,315 3,570 4,641 6,630 7,735

Collatz Trajectory (83 steps to reach 1)

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

46,410 23,205 69,616 34,808 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296

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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