λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,686,830
48,686,830
2 × 5 × 47 × 71 × 1459
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 47 × 71 × 1459
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,823,680
Proper Divisor Sum 42,136,850
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #48686821 ← → #48686881

Radix Representation

Decimal 48686830
Binary 10111001101110011011101110 (26 bits)
Octal 0o271563356
Hexadecimal 0x2E6E6EE

Divisor Catalog (32)

1 2 5 10 47 71 94 142 235 355 470 710 1,459 2,918 3,337 6,674 7,295 14,590 16,685 33,370 68,573 103,589 137,146 207,178 342,865 517,945 685,730 1,035,890 4,868,683 9,737,366 24,343,415 48,686,830

Collatz Trajectory (124 steps to reach 1)

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

48,686,830 24,343,415 73,030,246 36,515,123 109,545,370 54,772,685 164,318,056 82,159,028 41,079,514 20,539,757 61,619,272 30,809,636 15,404,818 7,702,409 23,107,228 11,553,614 5,776,807 17,330,422 8,665,211 25,995,634 12,997,817 38,993,452 19,496,726 9,748,363 29,245,090 14,622,545 43,867,636 21,933,818 10,966,909 32,900,728 16,450,364 8,225,182 4,112,591 12,337,774 6,168,887 18,506,662 9,253,331 27,759,994 13,879,997 41,639,992 20,819,996 10,409,998 5,204,999 15,614,998 7,807,499 23,422,498 11,711,249 35,133,748 17,566,874 8,783,437 26,350,312 13,175,156 6,587,578 3,293,789 9,881,368 4,940,684 2,470,342 1,235,171 3,705,514 1,852,757

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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