λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,023,975
7,023,975
3 × 52 × 7 × 17 × 787
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 17 × 787
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,070,528
Proper Divisor Sum 7,046,553
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7023953 ← → #7023983

Radix Representation

Decimal 7023975
Binary 11010110010110101100111 (23 bits)
Octal 0o32626547
Hexadecimal 0x6B2D67

Divisor Catalog (48)

1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 787 1,275 1,785 2,361 2,975 3,935 5,509 8,925 11,805 13,379 16,527 19,675 27,545 40,137 59,025 66,895 82,635 93,653 137,725 200,685 280,959 334,475 413,175 468,265 1,003,425 1,404,795 2,341,325 7,023,975

Collatz Trajectory (297 steps to reach 1)

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

7,023,975 21,071,926 10,535,963 31,607,890 15,803,945 47,411,836 23,705,918 11,852,959 35,558,878 17,779,439 53,338,318 26,669,159 80,007,478 40,003,739 120,011,218 60,005,609 180,016,828 90,008,414 45,004,207 135,012,622 67,506,311 202,518,934 101,259,467 303,778,402 151,889,201 455,667,604 227,833,802 113,916,901 341,750,704 170,875,352 85,437,676 42,718,838 21,359,419 64,078,258 32,039,129 96,117,388 48,058,694 24,029,347 72,088,042 36,044,021 108,132,064 54,066,032 27,033,016 13,516,508 6,758,254 3,379,127 10,137,382 5,068,691 15,206,074 7,603,037 22,809,112 11,404,556 5,702,278 2,851,139 8,553,418 4,276,709 12,830,128 6,415,064 3,207,532 1,603,766

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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