3³ × 11 × 29 × 53

Prime Factor Structure

Factorization String 3^3 × 11 × 29 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 777,600

Proper Divisor Sum 321,111

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #456461 ← → #456499

1 3 9 11 27 29 33 53 87 99 159 261 297 319 477 583 783 957 1,431 1,537 1,749 2,871 4,611 5,247 8,613 13,833 15,741 16,907 41,499 50,721 152,163 456,489

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

456,489 1,369,468 684,734 342,367 1,027,102 513,551 1,540,654 770,327 2,310,982 1,155,491 3,466,474 1,733,237 5,199,712 2,599,856 1,299,928 649,964 324,982 162,491 487,474 243,737 731,212 365,606 182,803 548,410 274,205 822,616 411,308 205,654 102,827 308,482 154,241 462,724 231,362 115,681 347,044 173,522 86,761 260,284 130,142 65,071 195,214 97,607 292,822 146,411 439,234 219,617 658,852 329,426 164,713 494,140 247,070 123,535 370,606 185,303 555,910 277,955 833,866 416,933 1,250,800 625,400

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