3,252,225

3 × 5² × 103 × 421

3,252,225 factors as 3 × 5^2 × 103 × 421. Its 24 positive divisors give a proper-divisor sum of 2,189,887, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 103 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,442,112

Proper Divisor Sum 2,189,887

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3252217 ← → #3252281

Radix Representation

Decimal	3252225
Binary	1100011010000000000001 (22 bits)
Octal	0o14320001
Hexadecimal	0x31A001

Divisor Catalog (24)

1 3 5 15 25 75 103 309 421 515 1,263 1,545 2,105 2,575 6,315 7,725 10,525 31,575 43,363 130,089 216,815 650,445 1,084,075 3,252,225

Collatz Trajectory (146 steps to reach 1)

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

3,252,225 9,756,676 4,878,338 2,439,169 7,317,508 3,658,754 1,829,377 5,488,132 2,744,066 1,372,033 4,116,100 2,058,050 1,029,025 3,087,076 1,543,538 771,769 2,315,308 1,157,654 578,827 1,736,482 868,241 2,604,724 1,302,362 651,181 1,953,544 976,772 488,386 244,193 732,580 366,290 183,145 549,436 274,718 137,359 412,078 206,039 618,118 309,059 927,178 463,589 1,390,768 695,384 347,692 173,846 86,923 260,770 130,385 391,156 195,578 97,789 293,368 146,684 73,342 36,671 110,014 55,007 165,022 82,511 247,534 123,767

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