310,029

3 × 17 × 6079

Starting at 310,029, the Collatz iteration reaches 1 after 127 steps. The first transition is 930088; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 6079

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 437,760

Proper Divisor Sum 127,731

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #310027 ← → #310043

Radix Representation

Decimal	310029
Binary	1001011101100001101 (19 bits)
Octal	0o1135415
Hexadecimal	0x4BB0D

Divisor Catalog (8)

1 3 17 51 6,079 18,237 103,343 310,029

Collatz Trajectory (127 steps to reach 1)

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

310,029 930,088 465,044 232,522 116,261 348,784 174,392 87,196 43,598 21,799 65,398 32,699 98,098 49,049 147,148 73,574 36,787 110,362 55,181 165,544 82,772 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334

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