345,126

2 × 3 × 97 × 593

Starting at 345,126, the Collatz iteration reaches 1 after 78 steps. The first transition is 172563; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 698,544

Proper Divisor Sum 353,418

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #345109 ← → #345133

Radix Representation

Decimal	345126
Binary	1010100010000100110 (19 bits)
Octal	0o1242046
Hexadecimal	0x54426

Divisor Catalog (16)

1 2 3 6 97 194 291 582 593 1,186 1,779 3,558 57,521 115,042 172,563 345,126

Collatz Trajectory (78 steps to reach 1)

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

345,126 172,563 517,690 258,845 776,536 388,268 194,134 97,067 291,202 145,601 436,804 218,402 109,201 327,604 163,802 81,901 245,704 122,852 61,426 30,713 92,140 46,070 23,035 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61

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