λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,200,752
7,200,752
24 × 132 × 2663
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 13^2 × 2663
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 15,112,872
Proper Divisor Sum 7,912,120
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7200751 ← → #7200763

Radix Representation

Decimal 7200752
Binary 11011011101111111110000 (23 bits)
Octal 0o33357760
Hexadecimal 0x6DDFF0

Divisor Catalog (30)

1 2 4 8 13 16 26 52 104 169 208 338 676 1,352 2,663 2,704 5,326 10,652 21,304 34,619 42,608 69,238 138,476 276,952 450,047 553,904 900,094 1,800,188 3,600,376 7,200,752

Collatz Trajectory (372 steps to reach 1)

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

7,200,752 3,600,376 1,800,188 900,094 450,047 1,350,142 675,071 2,025,214 1,012,607 3,037,822 1,518,911 4,556,734 2,278,367 6,835,102 3,417,551 10,252,654 5,126,327 15,378,982 7,689,491 23,068,474 11,534,237 34,602,712 17,301,356 8,650,678 4,325,339 12,976,018 6,488,009 19,464,028 9,732,014 4,866,007 14,598,022 7,299,011 21,897,034 10,948,517 32,845,552 16,422,776 8,211,388 4,105,694 2,052,847 6,158,542 3,079,271 9,237,814 4,618,907 13,856,722 6,928,361 20,785,084 10,392,542 5,196,271 15,588,814 7,794,407 23,383,222 11,691,611 35,074,834 17,537,417 52,612,252 26,306,126 13,153,063 39,459,190 19,729,595 59,188,786

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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