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Ratio Atlas
Atlas › Integer Profiles › Node 17,528,775
17,528,775
3 × 52 × 11 × 21247
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 21247
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 31,617,024
Proper Divisor Sum 14,088,249
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17528681 ← → #17528801

Radix Representation

Decimal 17528775
Binary 1000010110111011111000111 (25 bits)
Octal 0o102673707
Hexadecimal 0x10B77C7

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 825 21,247 63,741 106,235 233,717 318,705 531,175 701,151 1,168,585 1,593,525 3,505,755 5,842,925 17,528,775

Collatz Trajectory (200 steps to reach 1)

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

17,528,775 52,586,326 26,293,163 78,879,490 39,439,745 118,319,236 59,159,618 29,579,809 88,739,428 44,369,714 22,184,857 66,554,572 33,277,286 16,638,643 49,915,930 24,957,965 74,873,896 37,436,948 18,718,474 9,359,237 28,077,712 14,038,856 7,019,428 3,509,714 1,754,857 5,264,572 2,632,286 1,316,143 3,948,430 1,974,215 5,922,646 2,961,323 8,883,970 4,441,985 13,325,956 6,662,978 3,331,489 9,994,468 4,997,234 2,498,617 7,495,852 3,747,926 1,873,963 5,621,890 2,810,945 8,432,836 4,216,418 2,108,209 6,324,628 3,162,314 1,581,157 4,743,472 2,371,736 1,185,868 592,934 296,467 889,402 444,701 1,334,104 667,052

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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