49,731

3 × 11² × 137

For 49,731, the 12 positive divisors have a total of 73,416. Removing 49,731 leaves 23,685, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11^2 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 73,416

Proper Divisor Sum 23,685

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #49727 ← → #49739

Radix Representation

Decimal	49731
Binary	1100001001000011 (16 bits)
Octal	0o141103
Hexadecimal	0xC243

Divisor Catalog (12)

1 3 11 33 121 137 363 411 1,507 4,521 16,577 49,731

Collatz Trajectory (114 steps to reach 1)

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

49,731 149,194 74,597 223,792 111,896 55,948 27,974 13,987 41,962 20,981 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319

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