8,553,225

3 × 5² × 114043

8,553,225 factors as 3 × 5^2 × 114043. Its 12 positive divisors give a proper-divisor sum of 5,588,231, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 114043

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,141,456

Proper Divisor Sum 5,588,231

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8553221 ← → #8553229

Radix Representation

Decimal	8553225
Binary	100000101000001100001001 (24 bits)
Octal	0o40501411
Hexadecimal	0x828309

Divisor Catalog (12)

1 3 5 15 25 75 114,043 342,129 570,215 1,710,645 2,851,075 8,553,225

Collatz Trajectory (150 steps to reach 1)

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

8,553,225 25,659,676 12,829,838 6,414,919 19,244,758 9,622,379 28,867,138 14,433,569 43,300,708 21,650,354 10,825,177 32,475,532 16,237,766 8,118,883 24,356,650 12,178,325 36,534,976 18,267,488 9,133,744 4,566,872 2,283,436 1,141,718 570,859 1,712,578 856,289 2,568,868 1,284,434 642,217 1,926,652 963,326 481,663 1,444,990 722,495 2,167,486 1,083,743 3,251,230 1,625,615 4,876,846 2,438,423 7,315,270 3,657,635 10,972,906 5,486,453 16,459,360 8,229,680 4,114,840 2,057,420 1,028,710 514,355 1,543,066 771,533 2,314,600 1,157,300 578,650 289,325 867,976 433,988 216,994 108,497 325,492

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