2 × 3² × 5 × 13 × 17 × 23

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 17 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,415,232

Proper Divisor Sum 957,762

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #457469 ← → #457507

Radix Representation

Decimal	457470
Binary	1101111101011111110 (19 bits)
Octal	0o1575376
Hexadecimal	0x6FAFE

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 13 15 17 18 23 26 30 34 39 45 46 51 65 69 78 85 90 102 115 117 130 138 153 170 195 207 221 230 234 255 299 306 345 390 391 414 442 510 585 598 663 690 765 782 897 1,035 1,105 1,170 1,173 1,326 1,495 1,530 1,794

Collatz Trajectory (200 steps to reach 1)

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

457,470 228,735 686,206 343,103 1,029,310 514,655 1,543,966 771,983 2,315,950 1,157,975 3,473,926 1,736,963 5,210,890 2,605,445 7,816,336 3,908,168 1,954,084 977,042 488,521 1,465,564 732,782 366,391 1,099,174 549,587 1,648,762 824,381 2,473,144 1,236,572 618,286 309,143 927,430 463,715 1,391,146 695,573 2,086,720 1,043,360 521,680 260,840 130,420 65,210 32,605 97,816 48,908 24,454 12,227 36,682 18,341 55,024 27,512 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #457,469 Browse Full Index Next Integer #457,471 →