λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,552,001
47,552,001
3 × 72 × 61 × 5303
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 61 × 5303
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 74,977,344
Proper Divisor Sum 27,425,343
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #47551997 ← → #47552027

Radix Representation

Decimal 47552001
Binary 10110101011001011000000001 (26 bits)
Octal 0o265313001
Hexadecimal 0x2D59601

Divisor Catalog (24)

1 3 7 21 49 61 147 183 427 1,281 2,989 5,303 8,967 15,909 37,121 111,363 259,847 323,483 779,541 970,449 2,264,381 6,793,143 15,850,667 47,552,001

Collatz Trajectory (199 steps to reach 1)

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

47,552,001 142,656,004 71,328,002 35,664,001 106,992,004 53,496,002 26,748,001 80,244,004 40,122,002 20,061,001 60,183,004 30,091,502 15,045,751 45,137,254 22,568,627 67,705,882 33,852,941 101,558,824 50,779,412 25,389,706 12,694,853 38,084,560 19,042,280 9,521,140 4,760,570 2,380,285 7,140,856 3,570,428 1,785,214 892,607 2,677,822 1,338,911 4,016,734 2,008,367 6,025,102 3,012,551 9,037,654 4,518,827 13,556,482 6,778,241 20,334,724 10,167,362 5,083,681 15,251,044 7,625,522 3,812,761 11,438,284 5,719,142 2,859,571 8,578,714 4,289,357 12,868,072 6,434,036 3,217,018 1,608,509 4,825,528 2,412,764 1,206,382 603,191 1,809,574

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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