2³ × 3 × 7 × 31 × 149

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 31 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,304,000

Proper Divisor Sum 1,528,008

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #775987 ← → #776003

1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 149 168 186 217 248 298 372 434 447 596 651 744 868 894 1,043 1,192 1,302 1,736 1,788 2,086 2,604 3,129 3,576 4,172 4,619 5,208 6,258 8,344 9,238 12,516 13,857 18,476 25,032 27,714 32,333 36,952 55,428 64,666 96,999 110,856 129,332

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

775,992 387,996 193,998 96,999 290,998 145,499 436,498 218,249 654,748 327,374 163,687 491,062 245,531 736,594 368,297 1,104,892 552,446 276,223 828,670 414,335 1,243,006 621,503 1,864,510 932,255 2,796,766 1,398,383 4,195,150 2,097,575 6,292,726 3,146,363 9,439,090 4,719,545 14,158,636 7,079,318 3,539,659 10,618,978 5,309,489 15,928,468 7,964,234 3,982,117 11,946,352 5,973,176 2,986,588 1,493,294 746,647 2,239,942 1,119,971 3,359,914 1,679,957 5,039,872 2,519,936 1,259,968 629,984 314,992 157,496 78,748 39,374 19,687 59,062 29,531

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