λ
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Atlas › Integer Profiles › Node 28,297,320

28,297,320

23 × 3 × 5 × 235811
Abundant Even Composite

28,297,320 factors as 2^3 × 3 × 5 × 235811. Its 32 positive divisors give a proper-divisor sum of 56,595,000, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 235811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,892,320
Proper Divisor Sum 56,595,000
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #28297319 ← → #28297331

Radix Representation

Decimal 28297320
Binary 1101011111100100001101000 (25 bits)
Octal 0o153744150
Hexadecimal 0x1AFC868

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 235,811 471,622 707,433 943,244 1,179,055 1,414,866 1,886,488 2,358,110 2,829,732 3,537,165 4,716,220 5,659,464 7,074,330 9,432,440 14,148,660 28,297,320

Collatz Trajectory (131 steps to reach 1)

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

28,297,320 14,148,660 7,074,330 3,537,165 10,611,496 5,305,748 2,652,874 1,326,437 3,979,312 1,989,656 994,828 497,414 248,707 746,122 373,061 1,119,184 559,592 279,796 139,898 69,949 209,848 104,924 52,462 26,231 78,694 39,347 118,042 59,021 177,064 88,532 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990

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