346,878

2 × 3² × 7 × 2753

Starting at 346,878, the Collatz iteration reaches 1 after 197 steps. The first transition is 173439; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 2753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 859,248

Proper Divisor Sum 512,370

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #346877 ← → #346891

Radix Representation

Decimal	346878
Binary	1010100101011111110 (19 bits)
Octal	0o1245376
Hexadecimal	0x54AFE

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 2,753 5,506 8,259 16,518 19,271 24,777 38,542 49,554 57,813 115,626 173,439 346,878

Collatz Trajectory (197 steps to reach 1)

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

346,878 173,439 520,318 260,159 780,478 390,239 1,170,718 585,359 1,756,078 878,039 2,634,118 1,317,059 3,951,178 1,975,589 5,926,768 2,963,384 1,481,692 740,846 370,423 1,111,270 555,635 1,666,906 833,453 2,500,360 1,250,180 625,090 312,545 937,636 468,818 234,409 703,228 351,614 175,807 527,422 263,711 791,134 395,567 1,186,702 593,351 1,780,054 890,027 2,670,082 1,335,041 4,005,124 2,002,562 1,001,281 3,003,844 1,501,922 750,961 2,252,884 1,126,442 563,221 1,689,664 844,832 422,416 211,208 105,604 52,802 26,401 79,204

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