2⁴ × 3 × 7 × 13 × 17 × 97

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 17 × 97

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 24,498,432

Proper Divisor Sum 17,295,600

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7202813 ← → #7202857

Radix Representation

Decimal	7202832
Binary	11011011110100000010000 (23 bits)
Octal	0o33364020
Hexadecimal	0x6DE810

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 97 102 104 112 119 136 156 168 182 194 204 208 221 238 272 273 291 312 336 357 364 388 408 442 476 546 582 624 663 679 714 728 776

Collatz Trajectory (315 steps to reach 1)

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

7,202,832 3,601,416 1,800,708 900,354 450,177 1,350,532 675,266 337,633 1,012,900 506,450 253,225 759,676 379,838 189,919 569,758 284,879 854,638 427,319 1,281,958 640,979 1,922,938 961,469 2,884,408 1,442,204 721,102 360,551 1,081,654 540,827 1,622,482 811,241 2,433,724 1,216,862 608,431 1,825,294 912,647 2,737,942 1,368,971 4,106,914 2,053,457 6,160,372 3,080,186 1,540,093 4,620,280 2,310,140 1,155,070 577,535 1,732,606 866,303 2,598,910 1,299,455 3,898,366 1,949,183 5,847,550 2,923,775 8,771,326 4,385,663 13,156,990 6,578,495 19,735,486 9,867,743

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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