31,729,750

2 × 5³ × 13² × 751

31,729,750 factors as 2 × 5^3 × 13^2 × 751. Its 48 positive divisors give a proper-divisor sum of 32,674,538, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 13^2 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 64,404,288

Proper Divisor Sum 32,674,538

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #31729739 ← → #31729751

Radix Representation

Decimal	31729750
Binary	1111001000010100001010110 (25 bits)
Octal	0o171024126
Hexadecimal	0x1E42856

Divisor Catalog (48)

Collatz Trajectory (144 steps to reach 1)

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

31,729,750 15,864,875 47,594,626 23,797,313 71,391,940 35,695,970 17,847,985 53,543,956 26,771,978 13,385,989 40,157,968 20,078,984 10,039,492 5,019,746 2,509,873 7,529,620 3,764,810 1,882,405 5,647,216 2,823,608 1,411,804 705,902 352,951 1,058,854 529,427 1,588,282 794,141 2,382,424 1,191,212 595,606 297,803 893,410 446,705 1,340,116 670,058 335,029 1,005,088 502,544 251,272 125,636 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932

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