13,348

2² × 47 × 71

13,348 is even and not a perfect square. Its factorization is 2^2 × 47 × 71 and its 12 divisors sum to 24,192.

Prime Factor Structure

Factorization String 2^2 × 47 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,192

Proper Divisor Sum 10,844

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #13339 ← → #13367

Radix Representation

Decimal	13348
Binary	11010000100100 (14 bits)
Octal	0o32044
Hexadecimal	0x3424

Divisor Catalog (12)

1 2 4 47 71 94 142 188 284 3,337 6,674 13,348

Collatz Trajectory (68 steps to reach 1)

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

13,348 6,674 3,337 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512

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