2² × 3 × 7 × 11 × 13² × 37

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 13^2 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 18,692,352

Proper Divisor Sum 12,914,580

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5777771 ← → #5777789

Radix Representation

Decimal	5777772
Binary	10110000010100101101100 (23 bits)
Octal	0o26024554
Hexadecimal	0x58296C

Divisor Catalog (60 of 144)

1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 37 39 42 44 52 66 74 77 78 84 91 111 132 143 148 154 156 169 182 222 231 259 273 286 308 338 364 407 429 444 462 481 507 518 546 572 676 777 814 858 924 962 1,001 1,014 1,036

Collatz Trajectory (214 steps to reach 1)

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

5,777,772 2,888,886 1,444,443 4,333,330 2,166,665 6,499,996 3,249,998 1,624,999 4,874,998 2,437,499 7,312,498 3,656,249 10,968,748 5,484,374 2,742,187 8,226,562 4,113,281 12,339,844 6,169,922 3,084,961 9,254,884 4,627,442 2,313,721 6,941,164 3,470,582 1,735,291 5,205,874 2,602,937 7,808,812 3,904,406 1,952,203 5,856,610 2,928,305 8,784,916 4,392,458 2,196,229 6,588,688 3,294,344 1,647,172 823,586 411,793 1,235,380 617,690 308,845 926,536 463,268 231,634 115,817 347,452 173,726 86,863 260,590 130,295 390,886 195,443 586,330 293,165 879,496 439,748 219,874

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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