2 × 3⁴ × 11 × 13 × 31 × 101

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 13 × 31 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 199,051,776

Proper Divisor Sum 126,519,030

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #72532739 ← → #72532751

Radix Representation

Decimal	72532746
Binary	100010100101100001100001010 (27 bits)
Octal	0o424541412
Hexadecimal	0x452C30A

Divisor Catalog (60 of 160)

1 2 3 6 9 11 13 18 22 26 27 31 33 39 54 62 66 78 81 93 99 101 117 143 162 186 198 202 234 279 286 297 303 341 351 403 429 558 594 606 682 702 806 837 858 891 909 1,023 1,053 1,111 1,209 1,287 1,313 1,674 1,782 1,818 2,046 2,106 2,222 2,418

Collatz Trajectory (215 steps to reach 1)

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

72,532,746 36,266,373 108,799,120 54,399,560 27,199,780 13,599,890 6,799,945 20,399,836 10,199,918 5,099,959 15,299,878 7,649,939 22,949,818 11,474,909 34,424,728 17,212,364 8,606,182 4,303,091 12,909,274 6,454,637 19,363,912 9,681,956 4,840,978 2,420,489 7,261,468 3,630,734 1,815,367 5,446,102 2,723,051 8,169,154 4,084,577 12,253,732 6,126,866 3,063,433 9,190,300 4,595,150 2,297,575 6,892,726 3,446,363 10,339,090 5,169,545 15,508,636 7,754,318 3,877,159 11,631,478 5,815,739 17,447,218 8,723,609 26,170,828 13,085,414 6,542,707 19,628,122 9,814,061 29,442,184 14,721,092 7,360,546 3,680,273 11,040,820 5,520,410 2,760,205

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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