2³ × 3² × 7 × 37²

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 37^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,194,920

Proper Divisor Sum 1,504,944

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #689963 ← → #689981

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1,036 1,332 1,369 1,554 2,072 2,331 2,664 2,738 3,108 4,107 4,662 5,476 6,216 8,214 9,324 9,583 10,952 12,321 16,428 18,648 19,166 24,642 28,749

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

689,976 344,988 172,494 86,247 258,742 129,371 388,114 194,057 582,172 291,086 145,543 436,630 218,315 654,946 327,473 982,420 491,210 245,605 736,816 368,408 184,204 92,102 46,051 138,154 69,077 207,232 103,616 51,808 25,904 12,952 6,476 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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