2⁵ × 3² × 7 × 41 × 109

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 41 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 30,270,240

Proper Divisor Sum 21,260,736

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9009487 ← → #9009509

Radix Representation

Decimal	9009504
Binary	100010010111100101100000 (24 bits)
Octal	0o42274540
Hexadecimal	0x897960

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 109 112 123 126 144 164 168 218 224 246 252 287 288 327 328 336 369 436 492 504 574 654 656 672 738 763 861 872 981 984 1,008 1,148 1,308 1,312

Collatz Trajectory (163 steps to reach 1)

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

9,009,504 4,504,752 2,252,376 1,126,188 563,094 281,547 844,642 422,321 1,266,964 633,482 316,741 950,224 475,112 237,556 118,778 59,389 178,168 89,084 44,542 22,271 66,814 33,407 100,222 50,111 150,334 75,167 225,502 112,751 338,254 169,127 507,382 253,691 761,074 380,537 1,141,612 570,806 285,403 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237

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

← Previous Integer #9,009,503 Browse Full Index Next Integer #9,009,505 →