670,329

3³ × 11 × 37 × 61

Starting at 670,329, the Collatz iteration reaches 1 after 291 steps. The first transition is 2010988; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 11 × 37 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,130,880

Proper Divisor Sum 460,551

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #670321 ← → #670333

Radix Representation

Decimal	670329
Binary	10100011101001111001 (20 bits)
Octal	0o2435171
Hexadecimal	0xA3A79

Divisor Catalog (32)

1 3 9 11 27 33 37 61 99 111 183 297 333 407 549 671 999 1,221 1,647 2,013 2,257 3,663 6,039 6,771 10,989 18,117 20,313 24,827 60,939 74,481 223,443 670,329

Collatz Trajectory (291 steps to reach 1)

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

670,329 2,010,988 1,005,494 502,747 1,508,242 754,121 2,262,364 1,131,182 565,591 1,696,774 848,387 2,545,162 1,272,581 3,817,744 1,908,872 954,436 477,218 238,609 715,828 357,914 178,957 536,872 268,436 134,218 67,109 201,328 100,664 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089

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