381,784

2³ × 13 × 3671

381,784 has the prime decomposition 2^3 × 13 × 3671. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 3671

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 771,120

Proper Divisor Sum 389,336

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #381761 ← → #381791

Radix Representation

Decimal	381784
Binary	1011101001101011000 (19 bits)
Octal	0o1351530
Hexadecimal	0x5D358

Divisor Catalog (16)

1 2 4 8 13 26 52 104 3,671 7,342 14,684 29,368 47,723 95,446 190,892 381,784

Collatz Trajectory (55 steps to reach 1)

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

381,784 190,892 95,446 47,723 143,170 71,585 214,756 107,378 53,689 161,068 80,534 40,267 120,802 60,401 181,204 90,602 45,301 135,904 67,952 33,976 16,988 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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