7,308,750

2 × 3 × 5⁴ × 1949

7,308,750 factors as 2 × 3 × 5^4 × 1949. Its 40 positive divisors give a proper-divisor sum of 10,966,650, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^4 × 1949

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,275,400

Proper Divisor Sum 10,966,650

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7308739 ← → #7308751

Radix Representation

Decimal	7308750
Binary	11011111000010111001110 (23 bits)
Octal	0o33702716
Hexadecimal	0x6F85CE

Divisor Catalog (40)

Collatz Trajectory (160 steps to reach 1)

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

7,308,750 3,654,375 10,963,126 5,481,563 16,444,690 8,222,345 24,667,036 12,333,518 6,166,759 18,500,278 9,250,139 27,750,418 13,875,209 41,625,628 20,812,814 10,406,407 31,219,222 15,609,611 46,828,834 23,414,417 70,243,252 35,121,626 17,560,813 52,682,440 26,341,220 13,170,610 6,585,305 19,755,916 9,877,958 4,938,979 14,816,938 7,408,469 22,225,408 11,112,704 5,556,352 2,778,176 1,389,088 694,544 347,272 173,636 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288

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