λ
Ratio Atlas
Atlas › Integer Profiles › Node 16,005,275
16,005,275
52 × 113 × 13 × 37
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 11^3 × 13 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,144,288
Proper Divisor Sum 8,139,013
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #16005271 ← → #16005281

Radix Representation

Decimal 16005275
Binary 111101000011100010011011 (24 bits)
Octal 0o75034233
Hexadecimal 0xF4389B

Divisor Catalog (48)

1 5 11 13 25 37 55 65 121 143 185 275 325 407 481 605 715 925 1,331 1,573 2,035 2,405 3,025 3,575 4,477 5,291 6,655 7,865 10,175 12,025 17,303 22,385 26,455 33,275 39,325 49,247 58,201 86,515 111,925 132,275 246,235 291,005 432,575 640,211 1,231,175 1,455,025 3,201,055 16,005,275

Collatz Trajectory (218 steps to reach 1)

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

16,005,275 48,015,826 24,007,913 72,023,740 36,011,870 18,005,935 54,017,806 27,008,903 81,026,710 40,513,355 121,540,066 60,770,033 182,310,100 91,155,050 45,577,525 136,732,576 68,366,288 34,183,144 17,091,572 8,545,786 4,272,893 12,818,680 6,409,340 3,204,670 1,602,335 4,807,006 2,403,503 7,210,510 3,605,255 10,815,766 5,407,883 16,223,650 8,111,825 24,335,476 12,167,738 6,083,869 18,251,608 9,125,804 4,562,902 2,281,451 6,844,354 3,422,177 10,266,532 5,133,266 2,566,633 7,699,900 3,849,950 1,924,975 5,774,926 2,887,463 8,662,390 4,331,195 12,993,586 6,496,793 19,490,380 9,745,190 4,872,595 14,617,786 7,308,893 21,926,680

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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