47,421

3² × 11 × 479

47,421 factors as 3^2 × 11 × 479. Its 12 positive divisors give a proper-divisor sum of 27,459, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 479

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 74,880

Proper Divisor Sum 27,459

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #47419 ← → #47431

Radix Representation

Decimal	47421
Binary	1011100100111101 (16 bits)
Octal	0o134475
Hexadecimal	0xB93D

Divisor Catalog (12)

1 3 9 11 33 99 479 1,437 4,311 5,269 15,807 47,421

Collatz Trajectory (75 steps to reach 1)

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

47,421 142,264 71,132 35,566 17,783 53,350 26,675 80,026 40,013 120,040 60,020 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301

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