342,906

2 × 3 × 67 × 853

342,906 factors as 2 × 3 × 67 × 853. Its 16 positive divisors give a proper-divisor sum of 353,958, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 853

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 696,864

Proper Divisor Sum 353,958

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #342899 ← → #342929

Radix Representation

Decimal	342906
Binary	1010011101101111010 (19 bits)
Octal	0o1235572
Hexadecimal	0x53B7A

Divisor Catalog (16)

1 2 3 6 67 134 201 402 853 1,706 2,559 5,118 57,151 114,302 171,453 342,906

Collatz Trajectory (197 steps to reach 1)

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

342,906 171,453 514,360 257,180 128,590 64,295 192,886 96,443 289,330 144,665 433,996 216,998 108,499 325,498 162,749 488,248 244,124 122,062 61,031 183,094 91,547 274,642 137,321 411,964 205,982 102,991 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177

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