125,747

41 × 3067

125,747 has digital root 8. The neighboring primes are 125743 and 125753; its proper-divisor sum differs from the starting integer by -122,638.

Prime Factor Structure

Factorization String 41 × 3067

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 128,856

Proper Divisor Sum 3,109

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #125743 ← → #125753

Radix Representation

Decimal	125747
Binary	11110101100110011 (17 bits)
Octal	0o365463
Hexadecimal	0x1EB33

Divisor Catalog (4)

1 41 3,067 125,747

Collatz Trajectory (149 steps to reach 1)

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

125,747 377,242 188,621 565,864 282,932 141,466 70,733 212,200 106,100 53,050 26,525 79,576 39,788 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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