364,096

2⁶ × 5689

364,096 has the prime decomposition 2^6 × 5689. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5689

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 722,630

Proper Divisor Sum 358,534

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #364079 ← → #364103

Radix Representation

Decimal	364096
Binary	1011000111001000000 (19 bits)
Octal	0o1307100
Hexadecimal	0x58E40

Divisor Catalog (14)

1 2 4 8 16 32 64 5,689 11,378 22,756 45,512 91,024 182,048 364,096

Collatz Trajectory (135 steps to reach 1)

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

364,096 182,048 91,024 45,512 22,756 11,378 5,689 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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