288,764

2² × 7 × 10313

288,764 factors as 2^2 × 7 × 10313. Its 12 positive divisors give a proper-divisor sum of 288,820, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 10313

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 577,584

Proper Divisor Sum 288,820

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #288751 ← → #288767

Radix Representation

Decimal	288764
Binary	1000110011111111100 (19 bits)
Octal	0o1063774
Hexadecimal	0x467FC

Divisor Catalog (12)

1 2 4 7 14 28 10,313 20,626 41,252 72,191 144,382 288,764

Collatz Trajectory (101 steps to reach 1)

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

288,764 144,382 72,191 216,574 108,287 324,862 162,431 487,294 243,647 730,942 365,471 1,096,414 548,207 1,644,622 822,311 2,466,934 1,233,467 3,700,402 1,850,201 5,550,604 2,775,302 1,387,651 4,162,954 2,081,477 6,244,432 3,122,216 1,561,108 780,554 390,277 1,170,832 585,416 292,708 146,354 73,177 219,532 109,766 54,883 164,650 82,325 246,976 123,488 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996

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