λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,200,528
8,200,528
24 × 7 × 17 × 59 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 59 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 19,820,160
Proper Divisor Sum 11,619,632
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8200463 ← → #8200529

Radix Representation

Decimal 8200528
Binary 11111010010000101010000 (23 bits)
Octal 0o37220520
Hexadecimal 0x7D2150

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 17 28 34 56 59 68 73 112 118 119 136 146 236 238 272 292 413 472 476 511 584 826 944 952 1,003 1,022 1,168 1,241 1,652 1,904 2,006 2,044 2,482 3,304 4,012 4,088 4,307 4,964 6,608 7,021 8,024 8,176 8,614 8,687 9,928 14,042 16,048 17,228 17,374 19,856 28,084 30,149 34,456

Collatz Trajectory (54 steps to reach 1)

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

8,200,528 4,100,264 2,050,132 1,025,066 512,533 1,537,600 768,800 384,400 192,200 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 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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