2³ × 3² × 7 × 31 × 457

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 31 × 457

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,863,360

Proper Divisor Sum 15,723,192

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7140167 ← → #7140169

1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 457 504 558 651 744 868 914 1,116 1,302 1,371 1,736 1,828 1,953 2,232 2,604 2,742 3,199 3,656 3,906 4,113 5,208 5,484 6,398 7,812 8,226 9,597 10,968

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

7,140,168 3,570,084 1,785,042 892,521 2,677,564 1,338,782 669,391 2,008,174 1,004,087 3,012,262 1,506,131 4,518,394 2,259,197 6,777,592 3,388,796 1,694,398 847,199 2,541,598 1,270,799 3,812,398 1,906,199 5,718,598 2,859,299 8,577,898 4,288,949 12,866,848 6,433,424 3,216,712 1,608,356 804,178 402,089 1,206,268 603,134 301,567 904,702 452,351 1,357,054 678,527 2,035,582 1,017,791 3,053,374 1,526,687 4,580,062 2,290,031 6,870,094 3,435,047 10,305,142 5,152,571 15,457,714 7,728,857 23,186,572 11,593,286 5,796,643 17,389,930 8,694,965 26,084,896 13,042,448 6,521,224 3,260,612 1,630,306

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.