7,000,825

5² × 13² × 1657

7,000,825 has the prime decomposition 5^2 × 13^2 × 1657. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13^2 × 1657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,405,834

Proper Divisor Sum 2,405,009

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7000811 ← → #7000831

Radix Representation

Decimal	7000825
Binary	11010101101001011111001 (23 bits)
Octal	0o32551371
Hexadecimal	0x6AD2F9

Divisor Catalog (18)

1 5 13 25 65 169 325 845 1,657 4,225 8,285 21,541 41,425 107,705 280,033 538,525 1,400,165 7,000,825

Collatz Trajectory (129 steps to reach 1)

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

7,000,825 21,002,476 10,501,238 5,250,619 15,751,858 7,875,929 23,627,788 11,813,894 5,906,947 17,720,842 8,860,421 26,581,264 13,290,632 6,645,316 3,322,658 1,661,329 4,983,988 2,491,994 1,245,997 3,737,992 1,868,996 934,498 467,249 1,401,748 700,874 350,437 1,051,312 525,656 262,828 131,414 65,707 197,122 98,561 295,684 147,842 73,921 221,764 110,882 55,441 166,324 83,162 41,581 124,744 62,372 31,186 15,593 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408

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