λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,262,000
48,262,000
24 × 53 × 59 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 59 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 118,965,600
Proper Divisor Sum 70,703,600
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #48261991 ← → #48262001

Radix Representation

Decimal 48262000
Binary 10111000000110101101110000 (26 bits)
Octal 0o270065560
Hexadecimal 0x2E06B70

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 409 472 500 590 818 944 1,000 1,180 1,475 1,636 2,000 2,045 2,360 2,950 3,272 4,090 4,720 5,900 6,544 7,375 8,180 10,225 11,800 14,750 16,360 20,450 23,600 24,131 29,500 32,720 40,900 48,262 51,125 59,000 81,800 96,524 102,250 118,000 120,655

Collatz Trajectory (261 steps to reach 1)

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

48,262,000 24,131,000 12,065,500 6,032,750 3,016,375 9,049,126 4,524,563 13,573,690 6,786,845 20,360,536 10,180,268 5,090,134 2,545,067 7,635,202 3,817,601 11,452,804 5,726,402 2,863,201 8,589,604 4,294,802 2,147,401 6,442,204 3,221,102 1,610,551 4,831,654 2,415,827 7,247,482 3,623,741 10,871,224 5,435,612 2,717,806 1,358,903 4,076,710 2,038,355 6,115,066 3,057,533 9,172,600 4,586,300 2,293,150 1,146,575 3,439,726 1,719,863 5,159,590 2,579,795 7,739,386 3,869,693 11,609,080 5,804,540 2,902,270 1,451,135 4,353,406 2,176,703 6,530,110 3,265,055 9,795,166 4,897,583 14,692,750 7,346,375 22,039,126 11,019,563

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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