λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,379,772
41,379,772
22 × 7 × 827 × 1787
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 827 × 1787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,905,984
Proper Divisor Sum 41,526,212
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #41379763 ← → #41379791

Radix Representation

Decimal 41379772
Binary 10011101110110011110111100 (26 bits)
Octal 0o235663674
Hexadecimal 0x27767BC

Divisor Catalog (24)

1 2 4 7 14 28 827 1,654 1,787 3,308 3,574 5,789 7,148 11,578 12,509 23,156 25,018 50,036 1,477,849 2,955,698 5,911,396 10,344,943 20,689,886 41,379,772

Collatz Trajectory (297 steps to reach 1)

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

41,379,772 20,689,886 10,344,943 31,034,830 15,517,415 46,552,246 23,276,123 69,828,370 34,914,185 104,742,556 52,371,278 26,185,639 78,556,918 39,278,459 117,835,378 58,917,689 176,753,068 88,376,534 44,188,267 132,564,802 66,282,401 198,847,204 99,423,602 49,711,801 149,135,404 74,567,702 37,283,851 111,851,554 55,925,777 167,777,332 83,888,666 41,944,333 125,833,000 62,916,500 31,458,250 15,729,125 47,187,376 23,593,688 11,796,844 5,898,422 2,949,211 8,847,634 4,423,817 13,271,452 6,635,726 3,317,863 9,953,590 4,976,795 14,930,386 7,465,193 22,395,580 11,197,790 5,598,895 16,796,686 8,398,343 25,195,030 12,597,515 37,792,546 18,896,273 56,688,820

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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