3,826,459

7² × 13 × 6007

3,826,459 is odd and not a perfect square. Its factorization is 7^2 × 13 × 6007 and its 12 divisors sum to 4,794,384.

Prime Factor Structure

Factorization String 7^2 × 13 × 6007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,794,384

Proper Divisor Sum 967,925

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3826453 ← → #3826481

Radix Representation

Decimal	3826459
Binary	1110100110001100011011 (22 bits)
Octal	0o16461433
Hexadecimal	0x3A631B

Divisor Catalog (12)

1 7 13 49 91 637 6,007 42,049 78,091 294,343 546,637 3,826,459

Collatz Trajectory (322 steps to reach 1)

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

3,826,459 11,479,378 5,739,689 17,219,068 8,609,534 4,304,767 12,914,302 6,457,151 19,371,454 9,685,727 29,057,182 14,528,591 43,585,774 21,792,887 65,378,662 32,689,331 98,067,994 49,033,997 147,101,992 73,550,996 36,775,498 18,387,749 55,163,248 27,581,624 13,790,812 6,895,406 3,447,703 10,343,110 5,171,555 15,514,666 7,757,333 23,272,000 11,636,000 5,818,000 2,909,000 1,454,500 727,250 363,625 1,090,876 545,438 272,719 818,158 409,079 1,227,238 613,619 1,840,858 920,429 2,761,288 1,380,644 690,322 345,161 1,035,484 517,742 258,871 776,614 388,307 1,164,922 582,461 1,747,384 873,692

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