λ
Modular Archive

384,729

3 × 257 × 499
Deficient Odd Composite

The decimal integer 384,729 is 1011101111011011001 in binary (19 bits), 1357331 in octal and 5DED9 in hexadecimal. Its digit sum is 33.

Prime Factor Structure

Factorization String 3 × 257 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 516,000
Proper Divisor Sum 131,271
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #384719 ← → #384733

Radix Representation

Decimal 384729
Binary 1011101111011011001 (19 bits)
Octal 0o1357331
Hexadecimal 0x5DED9

Divisor Catalog (8)

1 3 257 499 771 1,497 128,243 384,729

Collatz Trajectory (99 steps to reach 1)

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

384,729 1,154,188 577,094 288,547 865,642 432,821 1,298,464 649,232 324,616 162,308 81,154 40,577 121,732 60,866 30,433 91,300 45,650 22,825 68,476 34,238 17,119 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407

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