7³ × 29 × 31

Prime Factor Structure

Factorization String 7^3 × 29 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 384,000

Proper Divisor Sum 75,643

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #308333 ← → #308359

1 7 29 31 49 203 217 343 899 1,421 1,519 6,293 9,947 10,633 44,051 308,357

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

308,357 925,072 462,536 231,268 115,634 57,817 173,452 86,726 43,363 130,090 65,045 195,136 97,568 48,784 24,392 12,196 6,098 3,049 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456

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