349,473

3 × 116491

Starting at 349,473, the Collatz iteration reaches 1 after 166 steps. The first transition is 1048420; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 116491

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 465,968

Proper Divisor Sum 116,495

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #349471 ← → #349477

Radix Representation

Decimal	349473
Binary	1010101010100100001 (19 bits)
Octal	0o1252441
Hexadecimal	0x55521

Divisor Catalog (4)

1 3 116,491 349,473

Collatz Trajectory (166 steps to reach 1)

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

349,473 1,048,420 524,210 262,105 786,316 393,158 196,579 589,738 294,869 884,608 442,304 221,152 110,576 55,288 27,644 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763 851,290 425,645 1,276,936 638,468 319,234 159,617 478,852

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