1,711,684

2² × 13 × 32917

1,711,684 factors as 2^2 × 13 × 32917. Its 12 positive divisors give a proper-divisor sum of 1,514,280, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 32917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,225,964

Proper Divisor Sum 1,514,280

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1711673 ← → #1711687

Radix Representation

Decimal	1711684
Binary	110100001111001000100 (21 bits)
Octal	0o6417104
Hexadecimal	0x1A1E44

Divisor Catalog (12)

1 2 4 13 26 52 32,917 65,834 131,668 427,921 855,842 1,711,684

Collatz Trajectory (127 steps to reach 1)

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

1,711,684 855,842 427,921 1,283,764 641,882 320,941 962,824 481,412 240,706 120,353 361,060 180,530 90,265 270,796 135,398 67,699 203,098 101,549 304,648 152,324 76,162 38,081 114,244 57,122 28,561 85,684 42,842 21,421 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811

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