λ
Ratio Atlas
Atlas › Integer Profiles › Node 257,520
257,520
24 × 3 × 5 × 29 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 29 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 848,160
Proper Divisor Sum 590,640
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #257519 ← → #257539

Radix Representation

Decimal 257520
Binary 111110110111110000 (18 bits)
Octal 0o766760
Hexadecimal 0x3EDF0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 48 58 60 74 80 87 111 116 120 145 148 174 185 222 232 240 290 296 348 370 435 444 464 555 580 592 696 740 870 888 1,073 1,110 1,160 1,392 1,480 1,740 1,776 2,146 2,220 2,320 2,960 3,219 3,480

Collatz Trajectory (49 steps to reach 1)

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

257,520 128,760 64,380 32,190 16,095 48,286 24,143 72,430 36,215 108,646 54,323 162,970 81,485 244,456 122,228 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 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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