355,302

2 × 3² × 19739

Starting at 355,302, the Collatz iteration reaches 1 after 210 steps. The first transition is 177651; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19739

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 769,860

Proper Divisor Sum 414,558

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #355297 ← → #355307

Radix Representation

Decimal	355302
Binary	1010110101111100110 (19 bits)
Octal	0o1265746
Hexadecimal	0x56BE6

Divisor Catalog (12)

1 2 3 6 9 18 19,739 39,478 59,217 118,434 177,651 355,302

Collatz Trajectory (210 steps to reach 1)

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

355,302 177,651 532,954 266,477 799,432 399,716 199,858 99,929 299,788 149,894 74,947 224,842 112,421 337,264 168,632 84,316 42,158 21,079 63,238 31,619 94,858 47,429 142,288 71,144 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534

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