2² × 3³ × 5 × 7 × 11²

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 11^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,787,520

Proper Divisor Sum 1,330,140

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #457367 ← → #457381

Radix Representation

Decimal	457380
Binary	1101111101010100100 (19 bits)
Octal	0o1575244
Hexadecimal	0x6FAA4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 27 28 30 33 35 36 42 44 45 54 55 60 63 66 70 77 84 90 99 105 108 110 121 126 132 135 140 154 165 180 189 198 210 220 231 242 252 270 297 308 315 330 363

Collatz Trajectory (143 steps to reach 1)

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

457,380 228,690 114,345 343,036 171,518 85,759 257,278 128,639 385,918 192,959 578,878 289,439 868,318 434,159 1,302,478 651,239 1,953,718 976,859 2,930,578 1,465,289 4,395,868 2,197,934 1,098,967 3,296,902 1,648,451 4,945,354 2,472,677 7,418,032 3,709,016 1,854,508 927,254 463,627 1,390,882 695,441 2,086,324 1,043,162 521,581 1,564,744 782,372 391,186 195,593 586,780 293,390 146,695 440,086 220,043 660,130 330,065 990,196 495,098 247,549 742,648 371,324 185,662 92,831 278,494 139,247 417,742 208,871 626,614

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #457,379 Browse Full Index Next Integer #457,381 →