5,204,007

3⁴ × 41 × 1567

5,204,007 is odd and not a perfect square. Its factorization is 3^4 × 41 × 1567 and its 20 divisors sum to 7,968,576.

Prime Factor Structure

Factorization String 3^4 × 41 × 1567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,968,576

Proper Divisor Sum 2,764,569

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5203997 ← → #5204009

Radix Representation

Decimal	5204007
Binary	10011110110100000100111 (23 bits)
Octal	0o23664047
Hexadecimal	0x4F6827

Divisor Catalog (20)

1 3 9 27 41 81 123 369 1,107 1,567 3,321 4,701 14,103 42,309 64,247 126,927 192,741 578,223 1,734,669 5,204,007

Collatz Trajectory (131 steps to reach 1)

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

5,204,007 15,612,022 7,806,011 23,418,034 11,709,017 35,127,052 17,563,526 8,781,763 26,345,290 13,172,645 39,517,936 19,758,968 9,879,484 4,939,742 2,469,871 7,409,614 3,704,807 11,114,422 5,557,211 16,671,634 8,335,817 25,007,452 12,503,726 6,251,863 18,755,590 9,377,795 28,133,386 14,066,693 42,200,080 21,100,040 10,550,020 5,275,010 2,637,505 7,912,516 3,956,258 1,978,129 5,934,388 2,967,194 1,483,597 4,450,792 2,225,396 1,112,698 556,349 1,669,048 834,524 417,262 208,631 625,894 312,947 938,842 469,421 1,408,264 704,132 352,066 176,033 528,100 264,050 132,025 396,076 198,038

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