λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,510
10,072,510
2 × 5 × 7 × 37 × 3889
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 37 × 3889
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,286,080
Proper Divisor Sum 11,213,570
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10072501 ← → #10072519

Radix Representation

Decimal 10072510
Binary 100110011011000110111110 (24 bits)
Octal 0o46330676
Hexadecimal 0x99B1BE

Divisor Catalog (32)

1 2 5 7 10 14 35 37 70 74 185 259 370 518 1,295 2,590 3,889 7,778 19,445 27,223 38,890 54,446 136,115 143,893 272,230 287,786 719,465 1,007,251 1,438,930 2,014,502 5,036,255 10,072,510

Collatz Trajectory (251 steps to reach 1)

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

10,072,510 5,036,255 15,108,766 7,554,383 22,663,150 11,331,575 33,994,726 16,997,363 50,992,090 25,496,045 76,488,136 38,244,068 19,122,034 9,561,017 28,683,052 14,341,526 7,170,763 21,512,290 10,756,145 32,268,436 16,134,218 8,067,109 24,201,328 12,100,664 6,050,332 3,025,166 1,512,583 4,537,750 2,268,875 6,806,626 3,403,313 10,209,940 5,104,970 2,552,485 7,657,456 3,828,728 1,914,364 957,182 478,591 1,435,774 717,887 2,153,662 1,076,831 3,230,494 1,615,247 4,845,742 2,422,871 7,268,614 3,634,307 10,902,922 5,451,461 16,354,384 8,177,192 4,088,596 2,044,298 1,022,149 3,066,448 1,533,224 766,612 383,306

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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