Integer 9,744,735 Profile | Ratio Atlas

9,744,735

3 × 5 × 7 × 11² × 13 × 59

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^2 × 13 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,450,240

Proper Divisor Sum 11,705,505

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9744677 ← → #9744737

Radix Representation

Decimal	9744735
Binary	100101001011000101011111 (24 bits)
Octal	0o45130537
Hexadecimal	0x94B15F

Divisor Catalog (60 of 96)

1 3 5 7 11 13 15 21 33 35 39 55 59 65 77 91 105 121 143 165 177 195 231 273 295 363 385 413 429 455 605 649 715 767 847 885 1,001 1,155 1,239 1,365 1,573 1,815 1,947 2,065 2,145 2,301 2,541 3,003 3,245 3,835 4,235 4,543 4,719 5,005 5,369 6,195 7,139 7,865 8,437 9,735

Collatz Trajectory (145 steps to reach 1)

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

9,744,735 29,234,206 14,617,103 43,851,310 21,925,655 65,776,966 32,888,483 98,665,450 49,332,725 147,998,176 73,999,088 36,999,544 18,499,772 9,249,886 4,624,943 13,874,830 6,937,415 20,812,246 10,406,123 31,218,370 15,609,185 46,827,556 23,413,778 11,706,889 35,120,668 17,560,334 8,780,167 26,340,502 13,170,251 39,510,754 19,755,377 59,266,132 29,633,066 14,816,533 44,449,600 22,224,800 11,112,400 5,556,200 2,778,100 1,389,050 694,525 2,083,576 1,041,788 520,894 260,447 781,342 390,671 1,172,014 586,007 1,758,022 879,011 2,637,034 1,318,517 3,955,552 1,977,776 988,888 494,444 247,222 123,611 370,834

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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