7,676,942

2 × 7 × 13 × 42181

For 7,676,942, the 16 positive divisors have a total of 14,173,152. Removing 7,676,942 leaves 6,496,210, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 42181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,173,152

Proper Divisor Sum 6,496,210

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7676939 ← → #7676947

Radix Representation

Decimal	7676942
Binary	11101010010010000001110 (23 bits)
Octal	0o35222016
Hexadecimal	0x75240E

Divisor Catalog (16)

1 2 7 13 14 26 91 182 42,181 84,362 295,267 548,353 590,534 1,096,706 3,838,471 7,676,942

Collatz Trajectory (129 steps to reach 1)

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

7,676,942 3,838,471 11,515,414 5,757,707 17,273,122 8,636,561 25,909,684 12,954,842 6,477,421 19,432,264 9,716,132 4,858,066 2,429,033 7,287,100 3,643,550 1,821,775 5,465,326 2,732,663 8,197,990 4,098,995 12,296,986 6,148,493 18,445,480 9,222,740 4,611,370 2,305,685 6,917,056 3,458,528 1,729,264 864,632 432,316 216,158 108,079 324,238 162,119 486,358 243,179 729,538 364,769 1,094,308 547,154 273,577 820,732 410,366 205,183 615,550 307,775 923,326 461,663 1,384,990 692,495 2,077,486 1,038,743 3,116,230 1,558,115 4,674,346 2,337,173 7,011,520 3,505,760 1,752,880

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