48,267

3² × 31 × 173

48,267 factors as 3^2 × 31 × 173. Its 12 positive divisors give a proper-divisor sum of 24,117, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 72,384

Proper Divisor Sum 24,117

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #48259 ← → #48271

Radix Representation

Decimal	48267
Binary	1011110010001011 (16 bits)
Octal	0o136213
Hexadecimal	0xBC8B

Divisor Catalog (12)

1 3 9 31 93 173 279 519 1,557 5,363 16,089 48,267

Collatz Trajectory (96 steps to reach 1)

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

48,267 144,802 72,401 217,204 108,602 54,301 162,904 81,452 40,726 20,363 61,090 30,545 91,636 45,818 22,909 68,728 34,364 17,182 8,591 25,774 12,887 38,662 19,331 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307

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