λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,730,948
48,730,948
22 × 7 × 61 × 103 × 277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 103 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,382,464
Proper Divisor Sum 51,651,516
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #48730943 ← → #48730967

Radix Representation

Decimal 48730948
Binary 10111001111001001101000100 (26 bits)
Octal 0o271711504
Hexadecimal 0x2E79344

Divisor Catalog (48)

1 2 4 7 14 28 61 103 122 206 244 277 412 427 554 721 854 1,108 1,442 1,708 1,939 2,884 3,878 6,283 7,756 12,566 16,897 25,132 28,531 33,794 43,981 57,062 67,588 87,962 114,124 118,279 175,924 199,717 236,558 399,434 473,116 798,868 1,740,391 3,480,782 6,961,564 12,182,737 24,365,474 48,730,948

Collatz Trajectory (173 steps to reach 1)

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

48,730,948 24,365,474 12,182,737 36,548,212 18,274,106 9,137,053 27,411,160 13,705,580 6,852,790 3,426,395 10,279,186 5,139,593 15,418,780 7,709,390 3,854,695 11,564,086 5,782,043 17,346,130 8,673,065 26,019,196 13,009,598 6,504,799 19,514,398 9,757,199 29,271,598 14,635,799 43,907,398 21,953,699 65,861,098 32,930,549 98,791,648 49,395,824 24,697,912 12,348,956 6,174,478 3,087,239 9,261,718 4,630,859 13,892,578 6,946,289 20,838,868 10,419,434 5,209,717 15,629,152 7,814,576 3,907,288 1,953,644 976,822 488,411 1,465,234 732,617 2,197,852 1,098,926 549,463 1,648,390 824,195 2,472,586 1,236,293 3,708,880 1,854,440

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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