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Ratio Atlas
Atlas › Integer Profiles › Node 41,999,956
41,999,956
22 × 19 × 53 × 10427
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 53 × 10427
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 78,835,680
Proper Divisor Sum 36,835,724
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #41999939 ← → #41999957

Radix Representation

Decimal 41999956
Binary 10100000001101111001010100 (26 bits)
Octal 0o240157124
Hexadecimal 0x280DE54

Divisor Catalog (24)

1 2 4 19 38 53 76 106 212 1,007 2,014 4,028 10,427 20,854 41,708 198,113 396,226 552,631 792,452 1,105,262 2,210,524 10,499,989 20,999,978 41,999,956

Collatz Trajectory (253 steps to reach 1)

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

41,999,956 20,999,978 10,499,989 31,499,968 15,749,984 7,874,992 3,937,496 1,968,748 984,374 492,187 1,476,562 738,281 2,214,844 1,107,422 553,711 1,661,134 830,567 2,491,702 1,245,851 3,737,554 1,868,777 5,606,332 2,803,166 1,401,583 4,204,750 2,102,375 6,307,126 3,153,563 9,460,690 4,730,345 14,191,036 7,095,518 3,547,759 10,643,278 5,321,639 15,964,918 7,982,459 23,947,378 11,973,689 35,921,068 17,960,534 8,980,267 26,940,802 13,470,401 40,411,204 20,205,602 10,102,801 30,308,404 15,154,202 7,577,101 22,731,304 11,365,652 5,682,826 2,841,413 8,524,240 4,262,120 2,131,060 1,065,530 532,765 1,598,296

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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