3,329,720

2³ × 5 × 83243

3,329,720 factors as 2^3 × 5 × 83243. Its 16 positive divisors give a proper-divisor sum of 4,162,240, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 83243

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,491,960

Proper Divisor Sum 4,162,240

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3329717 ← → #3329723

Radix Representation

Decimal	3329720
Binary	1100101100111010111000 (22 bits)
Octal	0o14547270
Hexadecimal	0x32CEB8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 83,243 166,486 332,972 416,215 665,944 832,430 1,664,860 3,329,720

Collatz Trajectory (164 steps to reach 1)

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

3,329,720 1,664,860 832,430 416,215 1,248,646 624,323 1,872,970 936,485 2,809,456 1,404,728 702,364 351,182 175,591 526,774 263,387 790,162 395,081 1,185,244 592,622 296,311 888,934 444,467 1,333,402 666,701 2,000,104 1,000,052 500,026 250,013 750,040 375,020 187,510 93,755 281,266 140,633 421,900 210,950 105,475 316,426 158,213 474,640 237,320 118,660 59,330 29,665 88,996 44,498 22,249 66,748 33,374 16,687 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724

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