3,442,092

2² × 3 × 17 × 47 × 359

3,442,092 factors as 2^2 × 3 × 17 × 47 × 359. Its 48 positive divisors give a proper-divisor sum of 5,267,028, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 47 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,709,120

Proper Divisor Sum 5,267,028

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3442091 ← → #3442121

Radix Representation

Decimal	3442092
Binary	1101001000010110101100 (22 bits)
Octal	0o15102654
Hexadecimal	0x3485AC

Divisor Catalog (48)

1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 359 564 718 799 1,077 1,436 1,598 2,154 2,397 3,196 4,308 4,794 6,103 9,588 12,206 16,873 18,309 24,412 33,746 36,618 50,619 67,492 73,236 101,238 202,476 286,841 573,682 860,523 1,147,364 1,721,046 3,442,092

Collatz Trajectory (221 steps to reach 1)

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

3,442,092 1,721,046 860,523 2,581,570 1,290,785 3,872,356 1,936,178 968,089 2,904,268 1,452,134 726,067 2,178,202 1,089,101 3,267,304 1,633,652 816,826 408,413 1,225,240 612,620 306,310 153,155 459,466 229,733 689,200 344,600 172,300 86,150 43,075 129,226 64,613 193,840 96,920 48,460 24,230 12,115 36,346 18,173 54,520 27,260 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836

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