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7,501,876

22 × 31 × 101 × 599
Deficient Even Composite

7,501,876 factors as 2^2 × 31 × 101 × 599. Its 24 positive divisors give a proper-divisor sum of 6,206,924, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 101 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,708,800
Proper Divisor Sum 6,206,924
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7501873 ← → #7501889

Radix Representation

Decimal 7501876
Binary 11100100111100000110100 (23 bits)
Octal 0o34474064
Hexadecimal 0x727834

Divisor Catalog (24)

1 2 4 31 62 101 124 202 404 599 1,198 2,396 3,131 6,262 12,524 18,569 37,138 60,499 74,276 120,998 241,996 1,875,469 3,750,938 7,501,876

Collatz Trajectory (111 steps to reach 1)

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

7,501,876 3,750,938 1,875,469 5,626,408 2,813,204 1,406,602 703,301 2,109,904 1,054,952 527,476 263,738 131,869 395,608 197,804 98,902 49,451 148,354 74,177 222,532 111,266 55,633 166,900 83,450 41,725 125,176 62,588 31,294 15,647 46,942 23,471 70,414 35,207 105,622 52,811 158,434 79,217 237,652 118,826 59,413 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937

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