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Atlas › Integer Profiles › Node 2,766,176

2,766,176

25 × 7 × 53 × 233
Abundant Even Composite

2,766,176 factors as 2^5 × 7 × 53 × 233. Its 48 positive divisors give a proper-divisor sum of 3,602,368, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 53 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,368,544
Proper Divisor Sum 3,602,368
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2766163 ← → #2766193

Radix Representation

Decimal 2766176
Binary 1010100011010101100000 (22 bits)
Octal 0o12432540
Hexadecimal 0x2A3560

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 233 371 424 466 742 848 932 1,484 1,631 1,696 1,864 2,968 3,262 3,728 5,936 6,524 7,456 11,872 12,349 13,048 24,698 26,096 49,396 52,192 86,443 98,792 172,886 197,584 345,772 395,168 691,544 1,383,088 2,766,176

Collatz Trajectory (81 steps to reach 1)

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

2,766,176 1,383,088 691,544 345,772 172,886 86,443 259,330 129,665 388,996 194,498 97,249 291,748 145,874 72,937 218,812 109,406 54,703 164,110 82,055 246,166 123,083 369,250 184,625 553,876 276,938 138,469 415,408 207,704 103,852 51,926 25,963 77,890 38,945 116,836 58,418 29,209 87,628 43,814 21,907 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488

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