λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,061,300
48,061,300
22 × 52 × 7 × 68659
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 68659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 119,193,760
Proper Divisor Sum 71,132,460
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #48061271 ← → #48061331

Radix Representation

Decimal 48061300
Binary 10110111010101101101110100 (26 bits)
Octal 0o267255564
Hexadecimal 0x2DD5B74

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 68,659 137,318 274,636 343,295 480,613 686,590 961,226 1,373,180 1,716,475 1,922,452 2,403,065 3,432,950 4,806,130 6,865,900 9,612,260 12,015,325 24,030,650 48,061,300

Collatz Trajectory (230 steps to reach 1)

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

48,061,300 24,030,650 12,015,325 36,045,976 18,022,988 9,011,494 4,505,747 13,517,242 6,758,621 20,275,864 10,137,932 5,068,966 2,534,483 7,603,450 3,801,725 11,405,176 5,702,588 2,851,294 1,425,647 4,276,942 2,138,471 6,415,414 3,207,707 9,623,122 4,811,561 14,434,684 7,217,342 3,608,671 10,826,014 5,413,007 16,239,022 8,119,511 24,358,534 12,179,267 36,537,802 18,268,901 54,806,704 27,403,352 13,701,676 6,850,838 3,425,419 10,276,258 5,138,129 15,414,388 7,707,194 3,853,597 11,560,792 5,780,396 2,890,198 1,445,099 4,335,298 2,167,649 6,502,948 3,251,474 1,625,737 4,877,212 2,438,606 1,219,303 3,657,910 1,828,955

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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