2³ × 3³ × 5 × 17 × 23²

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 17 × 23^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 35,834,400

Proper Divisor Sum 26,121,960

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9712421 ← → #9712441

Radix Representation

Decimal	9712440
Binary	100101000011001100111000 (24 bits)
Octal	0o45031470
Hexadecimal	0x943338

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 17 18 20 23 24 27 30 34 36 40 45 46 51 54 60 68 69 72 85 90 92 102 108 115 120 135 136 138 153 170 180 184 204 207 216 230 255 270 276 306 340 345 360 391 408 414 459 460 510

Collatz Trajectory (194 steps to reach 1)

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

9,712,440 4,856,220 2,428,110 1,214,055 3,642,166 1,821,083 5,463,250 2,731,625 8,194,876 4,097,438 2,048,719 6,146,158 3,073,079 9,219,238 4,609,619 13,828,858 6,914,429 20,743,288 10,371,644 5,185,822 2,592,911 7,778,734 3,889,367 11,668,102 5,834,051 17,502,154 8,751,077 26,253,232 13,126,616 6,563,308 3,281,654 1,640,827 4,922,482 2,461,241 7,383,724 3,691,862 1,845,931 5,537,794 2,768,897 8,306,692 4,153,346 2,076,673 6,230,020 3,115,010 1,557,505 4,672,516 2,336,258 1,168,129 3,504,388 1,752,194 876,097 2,628,292 1,314,146 657,073 1,971,220 985,610 492,805 1,478,416 739,208 369,604

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 #9,712,439 Browse Full Index Next Integer #9,712,441 →