3⁴ × 79 × 107

Prime Factor Structure

Factorization String 3^4 × 79 × 107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,045,440

Proper Divisor Sum 360,747

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #684683 ← → #684713

1 3 9 27 79 81 107 237 321 711 963 2,133 2,889 6,399 8,453 8,667 25,359 76,077 228,231 684,693

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

684,693 2,054,080 1,027,040 513,520 256,760 128,380 64,190 32,095 96,286 48,143 144,430 72,215 216,646 108,323 324,970 162,485 487,456 243,728 121,864 60,932 30,466 15,233 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068

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