11,680,764

2² × 3 × 973397

11,680,764 factors as 2^2 × 3 × 973397. Its 12 positive divisors give a proper-divisor sum of 15,574,380, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 973397

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,255,144

Proper Divisor Sum 15,574,380

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #11680759 ← → #11680771

Radix Representation

Decimal	11680764
Binary	101100100011101111111100 (24 bits)
Octal	0o54435774
Hexadecimal	0xB23BFC

Divisor Catalog (12)

1 2 3 4 6 12 973,397 1,946,794 2,920,191 3,893,588 5,840,382 11,680,764

Collatz Trajectory (215 steps to reach 1)

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

11,680,764 5,840,382 2,920,191 8,760,574 4,380,287 13,140,862 6,570,431 19,711,294 9,855,647 29,566,942 14,783,471 44,350,414 22,175,207 66,525,622 33,262,811 99,788,434 49,894,217 149,682,652 74,841,326 37,420,663 112,261,990 56,130,995 168,392,986 84,196,493 252,589,480 126,294,740 63,147,370 31,573,685 94,721,056 47,360,528 23,680,264 11,840,132 5,920,066 2,960,033 8,880,100 4,440,050 2,220,025 6,660,076 3,330,038 1,665,019 4,995,058 2,497,529 7,492,588 3,746,294 1,873,147 5,619,442 2,809,721 8,429,164 4,214,582 2,107,291 6,321,874 3,160,937 9,482,812 4,741,406 2,370,703 7,112,110 3,556,055 10,668,166 5,334,083 16,002,250

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