7,184,288

2⁵ × 347 × 647

7,184,288 factors as 2^5 × 347 × 647. Its 24 positive divisors give a proper-divisor sum of 7,022,464, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^5 × 347 × 647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,206,752

Proper Divisor Sum 7,022,464

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7184273 ← → #7184291

Radix Representation

Decimal	7184288
Binary	11011011001111110100000 (23 bits)
Octal	0o33317640
Hexadecimal	0x6D9FA0

Divisor Catalog (24)

Collatz Trajectory (191 steps to reach 1)

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

7,184,288 3,592,144 1,796,072 898,036 449,018 224,509 673,528 336,764 168,382 84,191 252,574 126,287 378,862 189,431 568,294 284,147 852,442 426,221 1,278,664 639,332 319,666 159,833 479,500 239,750 119,875 359,626 179,813 539,440 269,720 134,860 67,430 33,715 101,146 50,573 151,720 75,860 37,930 18,965 56,896 28,448 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612

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