3² × 7 × 11 × 13 × 53

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 943,488

Proper Divisor Sum 466,011

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #477469 ← → #477497

1 3 7 9 11 13 21 33 39 53 63 77 91 99 117 143 159 231 273 371 429 477 583 689 693 819 1,001 1,113 1,287 1,749 2,067 3,003 3,339 4,081 4,823 5,247 6,201 7,579 9,009 12,243 14,469 22,737 36,729 43,407 53,053 68,211 159,159 477,477

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

477,477 1,432,432 716,216 358,108 179,054 89,527 268,582 134,291 402,874 201,437 604,312 302,156 151,078 75,539 226,618 113,309 339,928 169,964 84,982 42,491 127,474 63,737 191,212 95,606 47,803 143,410 71,705 215,116 107,558 53,779 161,338 80,669 242,008 121,004 60,502 30,251 90,754 45,377 136,132 68,066 34,033 102,100 51,050 25,525 76,576 38,288 19,144 9,572 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505

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