5,083,767

3² × 13 × 43451

5,083,767 factors as 3^2 × 13 × 43451. Its 12 positive divisors give a proper-divisor sum of 2,824,497, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 43451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,908,264

Proper Divisor Sum 2,824,497

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5083753 ← → #5083823

Radix Representation

Decimal	5083767
Binary	10011011001001001110111 (23 bits)
Octal	0o23311167
Hexadecimal	0x4D9277

Divisor Catalog (12)

1 3 9 13 39 117 43,451 130,353 391,059 564,863 1,694,589 5,083,767

Collatz Trajectory (131 steps to reach 1)

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

5,083,767 15,251,302 7,625,651 22,876,954 11,438,477 34,315,432 17,157,716 8,578,858 4,289,429 12,868,288 6,434,144 3,217,072 1,608,536 804,268 402,134 201,067 603,202 301,601 904,804 452,402 226,201 678,604 339,302 169,651 508,954 254,477 763,432 381,716 190,858 95,429 286,288 143,144 71,572 35,786 17,893 53,680 26,840 13,420 6,710 3,355 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258

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