7,411,642

2 × 7² × 75629

7,411,642 factors as 2 × 7^2 × 75629. Its 12 positive divisors give a proper-divisor sum of 5,521,088, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 75629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,932,730

Proper Divisor Sum 5,521,088

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7411601 ← → #7411667

Radix Representation

Decimal	7411642
Binary	11100010001011110111010 (23 bits)
Octal	0o34213672
Hexadecimal	0x7117BA

Divisor Catalog (12)

1 2 7 14 49 98 75,629 151,258 529,403 1,058,806 3,705,821 7,411,642

Collatz Trajectory (217 steps to reach 1)

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

7,411,642 3,705,821 11,117,464 5,558,732 2,779,366 1,389,683 4,169,050 2,084,525 6,253,576 3,126,788 1,563,394 781,697 2,345,092 1,172,546 586,273 1,758,820 879,410 439,705 1,319,116 659,558 329,779 989,338 494,669 1,484,008 742,004 371,002 185,501 556,504 278,252 139,126 69,563 208,690 104,345 313,036 156,518 78,259 234,778 117,389 352,168 176,084 88,042 44,021 132,064 66,032 33,016 16,508 8,254 4,127 12,382 6,191 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346 15,673 47,020

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