7,746,276

2² × 3 × 283 × 2281

7,746,276 factors as 2^2 × 3 × 283 × 2281. Its 24 positive divisors give a proper-divisor sum of 10,400,188, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 283 × 2281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,146,464

Proper Divisor Sum 10,400,188

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7746247 ← → #7746301

Radix Representation

Decimal	7746276
Binary	11101100011001011100100 (23 bits)
Octal	0o35431344
Hexadecimal	0x7632E4

Divisor Catalog (24)

1 2 3 4 6 12 283 566 849 1,132 1,698 2,281 3,396 4,562 6,843 9,124 13,686 27,372 645,523 1,291,046 1,936,569 2,582,092 3,873,138 7,746,276

Collatz Trajectory (142 steps to reach 1)

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

7,746,276 3,873,138 1,936,569 5,809,708 2,904,854 1,452,427 4,357,282 2,178,641 6,535,924 3,267,962 1,633,981 4,901,944 2,450,972 1,225,486 612,743 1,838,230 919,115 2,757,346 1,378,673 4,136,020 2,068,010 1,034,005 3,102,016 1,551,008 775,504 387,752 193,876 96,938 48,469 145,408 72,704 36,352 18,176 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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