4,186,767

3 × 13 × 31 × 3463

4,186,767 has the prime decomposition 3 × 13 × 31 × 3463. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 31 × 3463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,207,488

Proper Divisor Sum 2,020,721

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4186747 ← → #4186771

Radix Representation

Decimal	4186767
Binary	1111111110001010001111 (22 bits)
Octal	0o17761217
Hexadecimal	0x3FE28F

Divisor Catalog (16)

1 3 13 31 39 93 403 1,209 3,463 10,389 45,019 107,353 135,057 322,059 1,395,589 4,186,767

Collatz Trajectory (136 steps to reach 1)

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

4,186,767 12,560,302 6,280,151 18,840,454 9,420,227 28,260,682 14,130,341 42,391,024 21,195,512 10,597,756 5,298,878 2,649,439 7,948,318 3,974,159 11,922,478 5,961,239 17,883,718 8,941,859 26,825,578 13,412,789 40,238,368 20,119,184 10,059,592 5,029,796 2,514,898 1,257,449 3,772,348 1,886,174 943,087 2,829,262 1,414,631 4,243,894 2,121,947 6,365,842 3,182,921 9,548,764 4,774,382 2,387,191 7,161,574 3,580,787 10,742,362 5,371,181 16,113,544 8,056,772 4,028,386 2,014,193 6,042,580 3,021,290 1,510,645 4,531,936 2,265,968 1,132,984 566,492 283,246 141,623 424,870 212,435 637,306 318,653 955,960

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