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Ratio Atlas
Atlas › Integer Profiles › Node 414,645
414,645
3 × 5 × 7 × 11 × 359
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 829,440
Proper Divisor Sum 414,795
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #414643 ← → #414653

Radix Representation

Decimal 414645
Binary 1100101001110110101 (19 bits)
Octal 0o1451665
Hexadecimal 0x653B5

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 359 385 1,077 1,155 1,795 2,513 3,949 5,385 7,539 11,847 12,565 19,745 27,643 37,695 59,235 82,929 138,215 414,645

Collatz Trajectory (55 steps to reach 1)

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

414,645 1,243,936 621,968 310,984 155,492 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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