λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,772,500
4,772,500
22 × 54 × 23 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^4 × 23 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,021,472
Proper Divisor Sum 6,248,972
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4772489 ← → #4772503

Radix Representation

Decimal 4772500
Binary 10010001101001010010100 (23 bits)
Octal 0o22151224
Hexadecimal 0x48D294

Divisor Catalog (60)

1 2 4 5 10 20 23 25 46 50 83 92 100 115 125 166 230 250 332 415 460 500 575 625 830 1,150 1,250 1,660 1,909 2,075 2,300 2,500 2,875 3,818 4,150 5,750 7,636 8,300 9,545 10,375 11,500 14,375 19,090 20,750 28,750 38,180 41,500 47,725 51,875 57,500 95,450 103,750 190,900 207,500 238,625 477,250 954,500 1,193,125 2,386,250 4,772,500

Collatz Trajectory (224 steps to reach 1)

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

4,772,500 2,386,250 1,193,125 3,579,376 1,789,688 894,844 447,422 223,711 671,134 335,567 1,006,702 503,351 1,510,054 755,027 2,265,082 1,132,541 3,397,624 1,698,812 849,406 424,703 1,274,110 637,055 1,911,166 955,583 2,866,750 1,433,375 4,300,126 2,150,063 6,450,190 3,225,095 9,675,286 4,837,643 14,512,930 7,256,465 21,769,396 10,884,698 5,442,349 16,327,048 8,163,524 4,081,762 2,040,881 6,122,644 3,061,322 1,530,661 4,591,984 2,295,992 1,147,996 573,998 286,999 860,998 430,499 1,291,498 645,749 1,937,248 968,624 484,312 242,156 121,078 60,539 181,618

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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