λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,262,500
5,262,500
22 × 55 × 421
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^5 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,538,324
Proper Divisor Sum 6,275,824
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5262463 ← → #5262511

Radix Representation

Decimal 5262500
Binary 10100000100110010100100 (23 bits)
Octal 0o24046244
Hexadecimal 0x504CA4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 125 250 421 500 625 842 1,250 1,684 2,105 2,500 3,125 4,210 6,250 8,420 10,525 12,500 21,050 42,100 52,625 105,250 210,500 263,125 526,250 1,052,500 1,315,625 2,631,250 5,262,500

Collatz Trajectory (157 steps to reach 1)

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

5,262,500 2,631,250 1,315,625 3,946,876 1,973,438 986,719 2,960,158 1,480,079 4,440,238 2,220,119 6,660,358 3,330,179 9,990,538 4,995,269 14,985,808 7,492,904 3,746,452 1,873,226 936,613 2,809,840 1,404,920 702,460 351,230 175,615 526,846 263,423 790,270 395,135 1,185,406 592,703 1,778,110 889,055 2,667,166 1,333,583 4,000,750 2,000,375 6,001,126 3,000,563 9,001,690 4,500,845 13,502,536 6,751,268 3,375,634 1,687,817 5,063,452 2,531,726 1,265,863 3,797,590 1,898,795 5,696,386 2,848,193 8,544,580 4,272,290 2,136,145 6,408,436 3,204,218 1,602,109 4,806,328 2,403,164 1,201,582

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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