2⁴ × 3 × 11 × 13 × 79 × 97

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 13 × 79 × 97

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 163,322,880

Proper Divisor Sum 110,724,048

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #52598827 ← → #52598839

Radix Representation

Decimal	52598832
Binary	11001000101001100000110000 (26 bits)
Octal	0o310514060
Hexadecimal	0x3229830

Divisor Catalog (60 of 160)

1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 79 88 97 104 132 143 156 158 176 194 208 237 264 286 291 312 316 388 429 474 528 572 582 624 632 776 858 869 948 1,027 1,067 1,144 1,164 1,261 1,264 1,552 1,716 1,738 1,896 2,054

Collatz Trajectory (93 steps to reach 1)

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

52,598,832 26,299,416 13,149,708 6,574,854 3,287,427 9,862,282 4,931,141 14,793,424 7,396,712 3,698,356 1,849,178 924,589 2,773,768 1,386,884 693,442 346,721 1,040,164 520,082 260,041 780,124 390,062 195,031 585,094 292,547 877,642 438,821 1,316,464 658,232 329,116 164,558 82,279 246,838 123,419 370,258 185,129 555,388 277,694 138,847 416,542 208,271 624,814 312,407 937,222 468,611 1,405,834 702,917 2,108,752 1,054,376 527,188 263,594 131,797 395,392 197,696 98,848 49,424 24,712 12,356 6,178 3,089 9,268

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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