λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,333,225
3,333,225
3 × 52 × 72 × 907
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,417,744
Proper Divisor Sum 3,084,519
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3333221 ← → #3333233

Radix Representation

Decimal 3333225
Binary 1100101101110001101001 (22 bits)
Octal 0o14556151
Hexadecimal 0x32DC69

Divisor Catalog (36)

1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 907 1,225 2,721 3,675 4,535 6,349 13,605 19,047 22,675 31,745 44,443 68,025 95,235 133,329 158,725 222,215 476,175 666,645 1,111,075 3,333,225

Collatz Trajectory (115 steps to reach 1)

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

3,333,225 9,999,676 4,999,838 2,499,919 7,499,758 3,749,879 11,249,638 5,624,819 16,874,458 8,437,229 25,311,688 12,655,844 6,327,922 3,163,961 9,491,884 4,745,942 2,372,971 7,118,914 3,559,457 10,678,372 5,339,186 2,669,593 8,008,780 4,004,390 2,002,195 6,006,586 3,003,293 9,009,880 4,504,940 2,252,470 1,126,235 3,378,706 1,689,353 5,068,060 2,534,030 1,267,015 3,801,046 1,900,523 5,701,570 2,850,785 8,552,356 4,276,178 2,138,089 6,414,268 3,207,134 1,603,567 4,810,702 2,405,351 7,216,054 3,608,027 10,824,082 5,412,041 16,236,124 8,118,062 4,059,031 12,177,094 6,088,547 18,265,642 9,132,821 27,398,464

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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