λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,751,456
48,751,456
25 × 13 × 117191
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 13 × 117191
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 103,363,344
Proper Divisor Sum 54,611,888
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #48751433 ← → #48751457

Radix Representation

Decimal 48751456
Binary 10111001111110001101100000 (26 bits)
Octal 0o271761540
Hexadecimal 0x2E7E360

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 117,191 234,382 468,764 937,528 1,523,483 1,875,056 3,046,966 3,750,112 6,093,932 12,187,864 24,375,728 48,751,456

Collatz Trajectory (186 steps to reach 1)

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

48,751,456 24,375,728 12,187,864 6,093,932 3,046,966 1,523,483 4,570,450 2,285,225 6,855,676 3,427,838 1,713,919 5,141,758 2,570,879 7,712,638 3,856,319 11,568,958 5,784,479 17,353,438 8,676,719 26,030,158 13,015,079 39,045,238 19,522,619 58,567,858 29,283,929 87,851,788 43,925,894 21,962,947 65,888,842 32,944,421 98,833,264 49,416,632 24,708,316 12,354,158 6,177,079 18,531,238 9,265,619 27,796,858 13,898,429 41,695,288 20,847,644 10,423,822 5,211,911 15,635,734 7,817,867 23,453,602 11,726,801 35,180,404 17,590,202 8,795,101 26,385,304 13,192,652 6,596,326 3,298,163 9,894,490 4,947,245 14,841,736 7,420,868 3,710,434 1,855,217

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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