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Ratio Atlas
Atlas › Integer Profiles › Node 13,999,984
13,999,984
24 × 47 × 18617
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 47 × 18617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 27,703,584
Proper Divisor Sum 13,703,600
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #13999981 ← → #14000029

Radix Representation

Decimal 13999984
Binary 110101011001111101110000 (24 bits)
Octal 0o65317560
Hexadecimal 0xD59F70

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 18,617 37,234 74,468 148,936 297,872 874,999 1,749,998 3,499,996 6,999,992 13,999,984

Collatz Trajectory (254 steps to reach 1)

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

13,999,984 6,999,992 3,499,996 1,749,998 874,999 2,624,998 1,312,499 3,937,498 1,968,749 5,906,248 2,953,124 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

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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