λ
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Atlas › Integer Profiles › Node 2,808,618

2,808,618

2 × 3 × 19 × 71 × 347
Abundant Even Composite

2,808,618 factors as 2 × 3 × 19 × 71 × 347. Its 32 positive divisors give a proper-divisor sum of 3,204,822, so this integer is abundant. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 71 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,013,440
Proper Divisor Sum 3,204,822
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2808607 ← → #2808647

Radix Representation

Decimal 2808618
Binary 1010101101101100101010 (22 bits)
Octal 0o12555452
Hexadecimal 0x2ADB2A

Divisor Catalog (32)

1 2 3 6 19 38 57 71 114 142 213 347 426 694 1,041 1,349 2,082 2,698 4,047 6,593 8,094 13,186 19,779 24,637 39,558 49,274 73,911 147,822 468,103 936,206 1,404,309 2,808,618

Collatz Trajectory (275 steps to reach 1)

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

2,808,618 1,404,309 4,212,928 2,106,464 1,053,232 526,616 263,308 131,654 65,827 197,482 98,741 296,224 148,112 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913

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