λ
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Atlas › Integer Profiles › Node 2,803,768

2,803,768

23 × 11 × 151 × 211
Abundant Even Composite

2,803,768 factors as 2^3 × 11 × 151 × 211. Its 32 positive divisors give a proper-divisor sum of 2,996,552, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 151 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,800,320
Proper Divisor Sum 2,996,552
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2803751 ← → #2803771

Radix Representation

Decimal 2803768
Binary 1010101100100000111000 (22 bits)
Octal 0o12544070
Hexadecimal 0x2AC838

Divisor Catalog (32)

1 2 4 8 11 22 44 88 151 211 302 422 604 844 1,208 1,661 1,688 2,321 3,322 4,642 6,644 9,284 13,288 18,568 31,861 63,722 127,444 254,888 350,471 700,942 1,401,884 2,803,768

Collatz Trajectory (107 steps to reach 1)

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

2,803,768 1,401,884 700,942 350,471 1,051,414 525,707 1,577,122 788,561 2,365,684 1,182,842 591,421 1,774,264 887,132 443,566 221,783 665,350 332,675 998,026 499,013 1,497,040 748,520 374,260 187,130 93,565 280,696 140,348 70,174 35,087 105,262 52,631 157,894 78,947 236,842 118,421 355,264 177,632 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965

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