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Ratio Atlas
Atlas › Integer Profiles › Node 7,569,735
7,569,735
3 × 5 × 31 × 73 × 223
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 31 × 73 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,730,368
Proper Divisor Sum 5,160,633
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7569721 ← → #7569739

Radix Representation

Decimal 7569735
Binary 11100111000000101000111 (23 bits)
Octal 0o34700507
Hexadecimal 0x738147

Divisor Catalog (32)

1 3 5 15 31 73 93 155 219 223 365 465 669 1,095 1,115 2,263 3,345 6,789 6,913 11,315 16,279 20,739 33,945 34,565 48,837 81,395 103,695 244,185 504,649 1,513,947 2,523,245 7,569,735

Collatz Trajectory (103 steps to reach 1)

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

7,569,735 22,709,206 11,354,603 34,063,810 17,031,905 51,095,716 25,547,858 12,773,929 38,321,788 19,160,894 9,580,447 28,741,342 14,370,671 43,112,014 21,556,007 64,668,022 32,334,011 97,002,034 48,501,017 145,503,052 72,751,526 36,375,763 109,127,290 54,563,645 163,690,936 81,845,468 40,922,734 20,461,367 61,384,102 30,692,051 92,076,154 46,038,077 138,114,232 69,057,116 34,528,558 17,264,279 51,792,838 25,896,419 77,689,258 38,844,629 116,533,888 58,266,944 29,133,472 14,566,736 7,283,368 3,641,684 1,820,842 910,421 2,731,264 1,365,632 682,816 341,408 170,704 85,352 42,676 21,338 10,669 32,008 16,004 8,002

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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