334,705

5 × 7 × 73 × 131

Starting at 334,705, the Collatz iteration reaches 1 after 153 steps. The first transition is 1004116; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 73 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 468,864

Proper Divisor Sum 134,159

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #334699 ← → #334717

Radix Representation

Decimal	334705
Binary	1010001101101110001 (19 bits)
Octal	0o1215561
Hexadecimal	0x51B71

Divisor Catalog (16)

1 5 7 35 73 131 365 511 655 917 2,555 4,585 9,563 47,815 66,941 334,705

Collatz Trajectory (153 steps to reach 1)

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

334,705 1,004,116 502,058 251,029 753,088 376,544 188,272 94,136 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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