342,456

2³ × 3 × 19 × 751

Starting at 342,456, the Collatz iteration reaches 1 after 197 steps. The first transition is 171228; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 902,400

Proper Divisor Sum 559,944

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #342451 ← → #342467

Radix Representation

Decimal	342456
Binary	1010011100110111000 (19 bits)
Octal	0o1234670
Hexadecimal	0x539B8

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 751 1,502 2,253 3,004 4,506 6,008 9,012 14,269 18,024 28,538 42,807 57,076 85,614 114,152 171,228 342,456

Collatz Trajectory (197 steps to reach 1)

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

342,456 171,228 85,614 42,807 128,422 64,211 192,634 96,317 288,952 144,476 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177

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