334,784

2⁶ × 5231

334,784 factors as 2^6 × 5231. Its 14 positive divisors give a proper-divisor sum of 329,680, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^6 × 5231

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 664,464

Proper Divisor Sum 329,680

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #334783 ← → #334787

Radix Representation

Decimal	334784
Binary	1010001101111000000 (19 bits)
Octal	0o1215700
Hexadecimal	0x51BC0

Divisor Catalog (14)

1 2 4 8 16 32 64 5,231 10,462 20,924 41,848 83,696 167,392 334,784

Collatz Trajectory (135 steps to reach 1)

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

334,784 167,392 83,696 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126

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