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Ratio Atlas
Atlas › Integer Profiles › Node 440,829
440,829
33 × 29 × 563
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 29 × 563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 676,800
Proper Divisor Sum 235,971
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #440821 ← → #440831

Radix Representation

Decimal 440829
Binary 1101011100111111101 (19 bits)
Octal 0o1534775
Hexadecimal 0x6B9FD

Divisor Catalog (16)

1 3 9 27 29 87 261 563 783 1,689 5,067 15,201 16,327 48,981 146,943 440,829

Collatz Trajectory (218 steps to reach 1)

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

440,829 1,322,488 661,244 330,622 165,311 495,934 247,967 743,902 371,951 1,115,854 557,927 1,673,782 836,891 2,510,674 1,255,337 3,766,012 1,883,006 941,503 2,824,510 1,412,255 4,236,766 2,118,383 6,355,150 3,177,575 9,532,726 4,766,363 14,299,090 7,149,545 21,448,636 10,724,318 5,362,159 16,086,478 8,043,239 24,129,718 12,064,859 36,194,578 18,097,289 54,291,868 27,145,934 13,572,967 40,718,902 20,359,451 61,078,354 30,539,177 91,617,532 45,808,766 22,904,383 68,713,150 34,356,575 103,069,726 51,534,863 154,604,590 77,302,295 231,906,886 115,953,443 347,860,330 173,930,165 521,790,496 260,895,248 130,447,624

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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