34,062

2 × 3 × 7 × 811

34,062 factors as 2 × 3 × 7 × 811. Its 16 positive divisors give a proper-divisor sum of 43,890, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 811

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 77,952

Proper Divisor Sum 43,890

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #34061 ← → #34123

Radix Representation

Decimal	34062
Binary	1000010100001110 (16 bits)
Octal	0o102416
Hexadecimal	0x850E

Divisor Catalog (16)

1 2 3 6 7 14 21 42 811 1,622 2,433 4,866 5,677 11,354 17,031 34,062

Collatz Trajectory (80 steps to reach 1)

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

34,062 17,031 51,094 25,547 76,642 38,321 114,964 57,482 28,741 86,224 43,112 21,556 10,778 5,389 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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