3,708,225

3² × 5² × 16481

3,708,225 has digital root 9. The neighboring primes are 3708223 and 3708241; its proper-divisor sum differs from the starting integer by -774,204.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 16481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,642,246

Proper Divisor Sum 2,934,021

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3708223 ← → #3708241

Radix Representation

Decimal	3708225
Binary	1110001001010101000001 (22 bits)
Octal	0o16112501
Hexadecimal	0x389541

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 16,481 49,443 82,405 148,329 247,215 412,025 741,645 1,236,075 3,708,225

Collatz Trajectory (110 steps to reach 1)

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

3,708,225 11,124,676 5,562,338 2,781,169 8,343,508 4,171,754 2,085,877 6,257,632 3,128,816 1,564,408 782,204 391,102 195,551 586,654 293,327 879,982 439,991 1,319,974 659,987 1,979,962 989,981 2,969,944 1,484,972 742,486 371,243 1,113,730 556,865 1,670,596 835,298 417,649 1,252,948 626,474 313,237 939,712 469,856 234,928 117,464 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524

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