60,333

3 × 7 × 13² × 17

60,333 factors as 3 × 7 × 13^2 × 17. Its 24 positive divisors give a proper-divisor sum of 45,075, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 105,408

Proper Divisor Sum 45,075

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #60331 ← → #60337

Radix Representation

Decimal	60333
Binary	1110101110101101 (16 bits)
Octal	0o165655
Hexadecimal	0xEBAD

Divisor Catalog (24)

1 3 7 13 17 21 39 51 91 119 169 221 273 357 507 663 1,183 1,547 2,873 3,549 4,641 8,619 20,111 60,333

Collatz Trajectory (91 steps to reach 1)

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

60,333 181,000 90,500 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

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