7,508,313

3² × 834257

7,508,313 factors as 3^2 × 834257. Its 6 positive divisors give a proper-divisor sum of 3,337,041, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3^2 × 834257

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,845,354

Proper Divisor Sum 3,337,041

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7508309 ← → #7508341

Radix Representation

Decimal	7508313
Binary	11100101001000101011001 (23 bits)
Octal	0o34510531
Hexadecimal	0x729159

Divisor Catalog (6)

1 3 9 834,257 2,502,771 7,508,313

Collatz Trajectory (248 steps to reach 1)

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

7,508,313 22,524,940 11,262,470 5,631,235 16,893,706 8,446,853 25,340,560 12,670,280 6,335,140 3,167,570 1,583,785 4,751,356 2,375,678 1,187,839 3,563,518 1,781,759 5,345,278 2,672,639 8,017,918 4,008,959 12,026,878 6,013,439 18,040,318 9,020,159 27,060,478 13,530,239 40,590,718 20,295,359 60,886,078 30,443,039 91,329,118 45,664,559 136,993,678 68,496,839 205,490,518 102,745,259 308,235,778 154,117,889 462,353,668 231,176,834 115,588,417 346,765,252 173,382,626 86,691,313 260,073,940 130,036,970 65,018,485 195,055,456 97,527,728 48,763,864 24,381,932 12,190,966 6,095,483 18,286,450 9,143,225 27,429,676 13,714,838 6,857,419 20,572,258 10,286,129

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