345,427

223 × 1549

Starting at 345,427, the Collatz iteration reaches 1 after 104 steps. The first transition is 1036282; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 223 × 1549

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 347,200

Proper Divisor Sum 1,773

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #345413 ← → #345431

Radix Representation

Decimal	345427
Binary	1010100010101010011 (19 bits)
Octal	0o1242523
Hexadecimal	0x54553

Divisor Catalog (4)

1 223 1,549 345,427

Collatz Trajectory (104 steps to reach 1)

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

345,427 1,036,282 518,141 1,554,424 777,212 388,606 194,303 582,910 291,455 874,366 437,183 1,311,550 655,775 1,967,326 983,663 2,950,990 1,475,495 4,426,486 2,213,243 6,639,730 3,319,865 9,959,596 4,979,798 2,489,899 7,469,698 3,734,849 11,204,548 5,602,274 2,801,137 8,403,412 4,201,706 2,100,853 6,302,560 3,151,280 1,575,640 787,820 393,910 196,955 590,866 295,433 886,300 443,150 221,575 664,726 332,363 997,090 498,545 1,495,636 747,818 373,909 1,121,728 560,864 280,432 140,216 70,108 35,054 17,527 52,582 26,291 78,874

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