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Atlas › Integer Profiles › Node 2,276,192

2,276,192

25 × 83 × 857
Deficient Even Composite

2,276,192 factors as 2^5 × 83 × 857. Its 24 positive divisors give a proper-divisor sum of 2,264,344, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^5 × 83 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,540,536
Proper Divisor Sum 2,264,344
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2276179 ← → #2276201

Radix Representation

Decimal 2276192
Binary 1000101011101101100000 (22 bits)
Octal 0o10535540
Hexadecimal 0x22BB60

Divisor Catalog (24)

1 2 4 8 16 32 83 166 332 664 857 1,328 1,714 2,656 3,428 6,856 13,712 27,424 71,131 142,262 284,524 569,048 1,138,096 2,276,192

Collatz Trajectory (192 steps to reach 1)

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

2,276,192 1,138,096 569,048 284,524 142,262 71,131 213,394 106,697 320,092 160,046 80,023 240,070 120,035 360,106 180,053 540,160 270,080 135,040 67,520 33,760 16,880 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455

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