2² × 3² × 7³ × 19²

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^3 × 19^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 13,868,400

Proper Divisor Sum 9,410,772

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4457623 ← → #4457639

Radix Representation

Decimal	4457628
Binary	10001000000010010011100 (23 bits)
Octal	0o21002234
Hexadecimal	0x44049C

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 343 361 399 441 532 588 684 686 722 798 882 931 1,029 1,083 1,197 1,372 1,444 1,596 1,764 1,862 2,058 2,166 2,394 2,527 2,793 3,087 3,249

Collatz Trajectory (211 steps to reach 1)

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

4,457,628 2,228,814 1,114,407 3,343,222 1,671,611 5,014,834 2,507,417 7,522,252 3,761,126 1,880,563 5,641,690 2,820,845 8,462,536 4,231,268 2,115,634 1,057,817 3,173,452 1,586,726 793,363 2,380,090 1,190,045 3,570,136 1,785,068 892,534 446,267 1,338,802 669,401 2,008,204 1,004,102 502,051 1,506,154 753,077 2,259,232 1,129,616 564,808 282,404 141,202 70,601 211,804 105,902 52,951 158,854 79,427 238,282 119,141 357,424 178,712 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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