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Ratio Atlas
Atlas › Integer Profiles › Node 4,477,413
4,477,413
3 × 173 × 8627
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 173 × 8627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,005,088
Proper Divisor Sum 1,527,675
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4477411 ← → #4477427

Radix Representation

Decimal 4477413
Binary 10001000101000111100101 (23 bits)
Octal 0o21050745
Hexadecimal 0x4451E5

Divisor Catalog (8)

1 3 173 519 8,627 25,881 1,492,471 4,477,413

Collatz Trajectory (211 steps to reach 1)

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

4,477,413 13,432,240 6,716,120 3,358,060 1,679,030 839,515 2,518,546 1,259,273 3,777,820 1,888,910 944,455 2,833,366 1,416,683 4,250,050 2,125,025 6,375,076 3,187,538 1,593,769 4,781,308 2,390,654 1,195,327 3,585,982 1,792,991 5,378,974 2,689,487 8,068,462 4,034,231 12,102,694 6,051,347 18,154,042 9,077,021 27,231,064 13,615,532 6,807,766 3,403,883 10,211,650 5,105,825 15,317,476 7,658,738 3,829,369 11,488,108 5,744,054 2,872,027 8,616,082 4,308,041 12,924,124 6,462,062 3,231,031 9,693,094 4,846,547 14,539,642 7,269,821 21,809,464 10,904,732 5,452,366 2,726,183 8,178,550 4,089,275 12,267,826 6,133,913

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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