λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,284,975
7,284,975
3 × 52 × 137 × 709
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 137 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,149,520
Proper Divisor Sum 4,864,545
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7284973 ← → #7285001

Radix Representation

Decimal 7284975
Binary 11011110010100011101111 (23 bits)
Octal 0o33624357
Hexadecimal 0x6F28EF

Divisor Catalog (24)

1 3 5 15 25 75 137 411 685 709 2,055 2,127 3,425 3,545 10,275 10,635 17,725 53,175 97,133 291,399 485,665 1,456,995 2,428,325 7,284,975

Collatz Trajectory (196 steps to reach 1)

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

7,284,975 21,854,926 10,927,463 32,782,390 16,391,195 49,173,586 24,586,793 73,760,380 36,880,190 18,440,095 55,320,286 27,660,143 82,980,430 41,490,215 124,470,646 62,235,323 186,705,970 93,352,985 280,058,956 140,029,478 70,014,739 210,044,218 105,022,109 315,066,328 157,533,164 78,766,582 39,383,291 118,149,874 59,074,937 177,224,812 88,612,406 44,306,203 132,918,610 66,459,305 199,377,916 99,688,958 49,844,479 149,533,438 74,766,719 224,300,158 112,150,079 336,450,238 168,225,119 504,675,358 252,337,679 757,013,038 378,506,519 1,135,519,558 567,759,779 1,703,279,338 851,639,669 2,554,919,008 1,277,459,504 638,729,752 319,364,876 159,682,438 79,841,219 239,523,658 119,761,829 359,285,488

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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