7,689,750

2 × 3 × 5³ × 10253

7,689,750 factors as 2 × 3 × 5^3 × 10253. Its 32 positive divisors give a proper-divisor sum of 11,505,738, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 10253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,195,488

Proper Divisor Sum 11,505,738

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7689743 ← → #7689761

Radix Representation

Decimal	7689750
Binary	11101010101011000010110 (23 bits)
Octal	0o35253026
Hexadecimal	0x755616

Divisor Catalog (32)

Collatz Trajectory (129 steps to reach 1)

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

7,689,750 3,844,875 11,534,626 5,767,313 17,301,940 8,650,970 4,325,485 12,976,456 6,488,228 3,244,114 1,622,057 4,866,172 2,433,086 1,216,543 3,649,630 1,824,815 5,474,446 2,737,223 8,211,670 4,105,835 12,317,506 6,158,753 18,476,260 9,238,130 4,619,065 13,857,196 6,928,598 3,464,299 10,392,898 5,196,449 15,589,348 7,794,674 3,897,337 11,692,012 5,846,006 2,923,003 8,769,010 4,384,505 13,153,516 6,576,758 3,288,379 9,865,138 4,932,569 14,797,708 7,398,854 3,699,427 11,098,282 5,549,141 16,647,424 8,323,712 4,161,856 2,080,928 1,040,464 520,232 260,116 130,058 65,029 195,088 97,544 48,772

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