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Ratio Atlas
Atlas › Integer Profiles › Node 7,572,975
7,572,975
3 × 52 × 37 × 2729
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 37 × 2729
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,863,760
Proper Divisor Sum 5,290,785
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7572941 ← → #7572977

Radix Representation

Decimal 7572975
Binary 11100111000110111101111 (23 bits)
Octal 0o34706757
Hexadecimal 0x738DEF

Divisor Catalog (24)

1 3 5 15 25 37 75 111 185 555 925 2,729 2,775 8,187 13,645 40,935 68,225 100,973 204,675 302,919 504,865 1,514,595 2,524,325 7,572,975

Collatz Trajectory (385 steps to reach 1)

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

7,572,975 22,718,926 11,359,463 34,078,390 17,039,195 51,117,586 25,558,793 76,676,380 38,338,190 19,169,095 57,507,286 28,753,643 86,260,930 43,130,465 129,391,396 64,695,698 32,347,849 97,043,548 48,521,774 24,260,887 72,782,662 36,391,331 109,173,994 54,586,997 163,760,992 81,880,496 40,940,248 20,470,124 10,235,062 5,117,531 15,352,594 7,676,297 23,028,892 11,514,446 5,757,223 17,271,670 8,635,835 25,907,506 12,953,753 38,861,260 19,430,630 9,715,315 29,145,946 14,572,973 43,718,920 21,859,460 10,929,730 5,464,865 16,394,596 8,197,298 4,098,649 12,295,948 6,147,974 3,073,987 9,221,962 4,610,981 13,832,944 6,916,472 3,458,236 1,729,118

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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