2⁶ × 3³ × 13 × 23

Prime Factor Structure

Factorization String 2^6 × 3^3 × 13 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 1,706,880

Proper Divisor Sum 1,190,208

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #516653 ← → #516673

Radix Representation

Decimal	516672
Binary	1111110001001000000 (19 bits)
Octal	0o1761100
Hexadecimal	0x7E240

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 92 96 104 108 117 138 144 156 184 192 207 208 216 234 276 288 299 312 351 368 414 416 432 468 552 576 598 621 624 702 736 828 832 864

Collatz Trajectory (102 steps to reach 1)

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

516,672 258,336 129,168 64,584 32,292 16,146 8,073 24,220 12,110 6,055 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #516,671 Browse Full Index Next Integer #516,673 →