125,624

2³ × 41 × 383

For 125,624, the 16 positive divisors have a total of 241,920. Removing 125,624 leaves 116,296, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 41 × 383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 241,920

Proper Divisor Sum 116,296

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #125621 ← → #125627

Radix Representation

Decimal	125624
Binary	11110101010111000 (17 bits)
Octal	0o365270
Hexadecimal	0x1EAB8

Divisor Catalog (16)

1 2 4 8 41 82 164 328 383 766 1,532 3,064 15,703 31,406 62,812 125,624

Collatz Trajectory (87 steps to reach 1)

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

125,624 62,812 31,406 15,703 47,110 23,555 70,666 35,333 106,000 53,000 26,500 13,250 6,625 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133

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