λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,732,095
7,732,095
3 × 5 × 7 × 211 × 349
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 211 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,246,400
Proper Divisor Sum 6,514,305
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7732091 ← → #7732103

Radix Representation

Decimal 7732095
Binary 11101011111101101111111 (23 bits)
Octal 0o35375577
Hexadecimal 0x75FB7F

Divisor Catalog (32)

1 3 5 7 15 21 35 105 211 349 633 1,047 1,055 1,477 1,745 2,443 3,165 4,431 5,235 7,329 7,385 12,215 22,155 36,645 73,639 220,917 368,195 515,473 1,104,585 1,546,419 2,577,365 7,732,095

Collatz Trajectory (155 steps to reach 1)

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

7,732,095 23,196,286 11,598,143 34,794,430 17,397,215 52,191,646 26,095,823 78,287,470 39,143,735 117,431,206 58,715,603 176,146,810 88,073,405 264,220,216 132,110,108 66,055,054 33,027,527 99,082,582 49,541,291 148,623,874 74,311,937 222,935,812 111,467,906 55,733,953 167,201,860 83,600,930 41,800,465 125,401,396 62,700,698 31,350,349 94,051,048 47,025,524 23,512,762 11,756,381 35,269,144 17,634,572 8,817,286 4,408,643 13,225,930 6,612,965 19,838,896 9,919,448 4,959,724 2,479,862 1,239,931 3,719,794 1,859,897 5,579,692 2,789,846 1,394,923 4,184,770 2,092,385 6,277,156 3,138,578 1,569,289 4,707,868 2,353,934 1,176,967 3,530,902 1,765,451

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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