λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,288,252
8,288,252
22 × 74 × 863
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^4 × 863
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 16,940,448
Proper Divisor Sum 8,652,196
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8288249 ← → #8288263

Radix Representation

Decimal 8288252
Binary 11111100111011111111100 (23 bits)
Octal 0o37473774
Hexadecimal 0x7E77FC

Divisor Catalog (30)

1 2 4 7 14 28 49 98 196 343 686 863 1,372 1,726 2,401 3,452 4,802 6,041 9,604 12,082 24,164 42,287 84,574 169,148 296,009 592,018 1,184,036 2,072,063 4,144,126 8,288,252

Collatz Trajectory (261 steps to reach 1)

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

8,288,252 4,144,126 2,072,063 6,216,190 3,108,095 9,324,286 4,662,143 13,986,430 6,993,215 20,979,646 10,489,823 31,469,470 15,734,735 47,204,206 23,602,103 70,806,310 35,403,155 106,209,466 53,104,733 159,314,200 79,657,100 39,828,550 19,914,275 59,742,826 29,871,413 89,614,240 44,807,120 22,403,560 11,201,780 5,600,890 2,800,445 8,401,336 4,200,668 2,100,334 1,050,167 3,150,502 1,575,251 4,725,754 2,362,877 7,088,632 3,544,316 1,772,158 886,079 2,658,238 1,329,119 3,987,358 1,993,679 5,981,038 2,990,519 8,971,558 4,485,779 13,457,338 6,728,669 20,186,008 10,093,004 5,046,502 2,523,251 7,569,754 3,784,877 11,354,632

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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