λ
Ratio Atlas
Atlas › Integer Profiles › Node 500,976
500,976
24 × 32 × 72 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7^2 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 1,653,912
Proper Divisor Sum 1,152,936
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #500957 ← → #500977

Radix Representation

Decimal 500976
Binary 1111010010011110000 (19 bits)
Octal 0o1722360
Hexadecimal 0x7A4F0

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 71 72 84 98 112 126 142 144 147 168 196 213 252 284 294 336 392 426 441 497 504 568 588 639 784 852 882 994 1,008 1,136 1,176 1,278 1,491 1,704 1,764 1,988 2,352 2,556 2,982

Collatz Trajectory (58 steps to reach 1)

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

500,976 250,488 125,244 62,622 31,311 93,934 46,967 140,902 70,451 211,354 105,677 317,032 158,516 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 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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