λ
Ratio Atlas
Atlas › Integer Profiles › Node 457,968
457,968
24 × 3 × 7 × 29 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 29 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,428,480
Proper Divisor Sum 970,512
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #457943 ← → #457979

Radix Representation

Decimal 457968
Binary 1101111110011110000 (19 bits)
Octal 0o1576360
Hexadecimal 0x6FCF0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 47 48 56 58 84 87 94 112 116 141 168 174 188 203 232 282 329 336 348 376 406 464 564 609 658 696 752 812 987 1,128 1,218 1,316 1,363 1,392 1,624 1,974 2,256 2,436 2,632 2,726 3,248 3,948 4,089 4,872 5,264

Collatz Trajectory (55 steps to reach 1)

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

457,968 228,984 114,492 57,246 28,623 85,870 42,935 128,806 64,403 193,210 96,605 289,816 144,908 72,454 36,227 108,682 54,341 163,024 81,512 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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
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