λ
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Atlas › Integer Profiles › Node 2,797,696

2,797,696

27 × 11 × 1987
Abundant Even Composite

2,797,696 factors as 2^7 × 11 × 1987. Its 32 positive divisors give a proper-divisor sum of 3,285,584, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 1987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,083,280
Proper Divisor Sum 3,285,584
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #2797679 ← → #2797699

Radix Representation

Decimal 2797696
Binary 1010101011000010000000 (22 bits)
Octal 0o12530200
Hexadecimal 0x2AB080

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 1,987 3,974 7,948 15,896 21,857 31,792 43,714 63,584 87,428 127,168 174,856 254,336 349,712 699,424 1,398,848 2,797,696

Collatz Trajectory (63 steps to reach 1)

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

2,797,696 1,398,848 699,424 349,712 174,856 87,428 43,714 21,857 65,572 32,786 16,393 49,180 24,590 12,295 36,886 18,443 55,330 27,665 82,996 41,498 20,749 62,248 31,124 15,562 7,781 23,344 11,672 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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