7,745,842

2 × 13 × 29 × 10273

7,745,842 factors as 2 × 13 × 29 × 10273. Its 16 positive divisors give a proper-divisor sum of 5,199,398, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 10273

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,945,240

Proper Divisor Sum 5,199,398

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7745833 ← → #7745849

Radix Representation

Decimal	7745842
Binary	11101100011000100110010 (23 bits)
Octal	0o35430462
Hexadecimal	0x763132

Divisor Catalog (16)

1 2 13 26 29 58 377 754 10,273 20,546 133,549 267,098 297,917 595,834 3,872,921 7,745,842

Collatz Trajectory (124 steps to reach 1)

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

7,745,842 3,872,921 11,618,764 5,809,382 2,904,691 8,714,074 4,357,037 13,071,112 6,535,556 3,267,778 1,633,889 4,901,668 2,450,834 1,225,417 3,676,252 1,838,126 919,063 2,757,190 1,378,595 4,135,786 2,067,893 6,203,680 3,101,840 1,550,920 775,460 387,730 193,865 581,596 290,798 145,399 436,198 218,099 654,298 327,149 981,448 490,724 245,362 122,681 368,044 184,022 92,011 276,034 138,017 414,052 207,026 103,513 310,540 155,270 77,635 232,906 116,453 349,360 174,680 87,340 43,670 21,835 65,506 32,753 98,260 49,130

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