7,588,941

3 × 43 × 89 × 661

7,588,941 factors as 3 × 43 × 89 × 661. Its 16 positive divisors give a proper-divisor sum of 2,897,139, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3 × 43 × 89 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,486,080

Proper Divisor Sum 2,897,139

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7588927 ← → #7588951

Radix Representation

Decimal	7588941
Binary	11100111100110001001101 (23 bits)
Octal	0o34746115
Hexadecimal	0x73CC4D

Divisor Catalog (16)

1 3 43 89 129 267 661 1,983 3,827 11,481 28,423 58,829 85,269 176,487 2,529,647 7,588,941

Collatz Trajectory (111 steps to reach 1)

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

7,588,941 22,766,824 11,383,412 5,691,706 2,845,853 8,537,560 4,268,780 2,134,390 1,067,195 3,201,586 1,600,793 4,802,380 2,401,190 1,200,595 3,601,786 1,800,893 5,402,680 2,701,340 1,350,670 675,335 2,026,006 1,013,003 3,039,010 1,519,505 4,558,516 2,279,258 1,139,629 3,418,888 1,709,444 854,722 427,361 1,282,084 641,042 320,521 961,564 480,782 240,391 721,174 360,587 1,081,762 540,881 1,622,644 811,322 405,661 1,216,984 608,492 304,246 152,123 456,370 228,185 684,556 342,278 171,139 513,418 256,709 770,128 385,064 192,532 96,266 48,133

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