7,588,945

5 × 7 × 13² × 1283

7,588,945 factors as 5 × 7 × 13^2 × 1283. Its 24 positive divisors give a proper-divisor sum of 3,689,711, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13^2 × 1283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,278,656

Proper Divisor Sum 3,689,711

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7588927 ← → #7588951

Radix Representation

Decimal	7588945
Binary	11100111100110001010001 (23 bits)
Octal	0o34746121
Hexadecimal	0x73CC51

Divisor Catalog (24)

Collatz Trajectory (111 steps to reach 1)

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

7,588,945 22,766,836 11,383,418 5,691,709 17,075,128 8,537,564 4,268,782 2,134,391 6,403,174 3,201,587 9,604,762 4,802,381 14,407,144 7,203,572 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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