7,045,242

2 × 3 × 17³ × 239

7,045,242 factors as 2 × 3 × 17^3 × 239. Its 32 positive divisors give a proper-divisor sum of 7,988,358, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17^3 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,033,600

Proper Divisor Sum 7,988,358

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7045223 ← → #7045243

Radix Representation

Decimal	7045242
Binary	11010111000000001111010 (23 bits)
Octal	0o32700172
Hexadecimal	0x6B807A

Divisor Catalog (32)

1 2 3 6 17 34 51 102 239 289 478 578 717 867 1,434 1,734 4,063 4,913 8,126 9,826 12,189 14,739 24,378 29,478 69,071 138,142 207,213 414,426 1,174,207 2,348,414 3,522,621 7,045,242

Collatz Trajectory (191 steps to reach 1)

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

7,045,242 3,522,621 10,567,864 5,283,932 2,641,966 1,320,983 3,962,950 1,981,475 5,944,426 2,972,213 8,916,640 4,458,320 2,229,160 1,114,580 557,290 278,645 835,936 417,968 208,984 104,492 52,246 26,123 78,370 39,185 117,556 58,778 29,389 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246

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