3,333,224

2³ × 17 × 24509

3,333,224 factors as 2^3 × 17 × 24509. Its 16 positive divisors give a proper-divisor sum of 3,284,476, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 24509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,617,700

Proper Divisor Sum 3,284,476

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3333221 ← → #3333233

Radix Representation

Decimal	3333224
Binary	1100101101110001101000 (22 bits)
Octal	0o14556150
Hexadecimal	0x32DC68

Divisor Catalog (16)

1 2 4 8 17 34 68 136 24,509 49,018 98,036 196,072 416,653 833,306 1,666,612 3,333,224

Collatz Trajectory (84 steps to reach 1)

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

3,333,224 1,666,612 833,306 416,653 1,249,960 624,980 312,490 156,245 468,736 234,368 117,184 58,592 29,296 14,648 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

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