2² × 3² × 7 × 17 × 107

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,415,232

Proper Divisor Sum 956,844

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #458377 ← → #458399

1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 107 119 126 153 204 214 238 252 306 321 357 428 476 612 642 714 749 963 1,071 1,284 1,428 1,498 1,819 1,926 2,142 2,247 2,996 3,638 3,852 4,284 4,494 5,457 6,741 7,276 8,988 10,914 12,733 13,482 16,371

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

458,388 229,194 114,597 343,792 171,896 85,948 42,974 21,487 64,462 32,231 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455

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