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Atlas › Integer Profiles › Node 28,625,240

28,625,240

23 × 5 × 7 × 102233
Abundant Even Composite

28,625,240 factors as 2^3 × 5 × 7 × 102233. Its 32 positive divisors give a proper-divisor sum of 44,983,240, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 102233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,608,480
Proper Divisor Sum 44,983,240
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #28625237 ← → #28625249

Radix Representation

Decimal 28625240
Binary 1101101001100100101011000 (25 bits)
Octal 0o155144530
Hexadecimal 0x1B4C958

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 102,233 204,466 408,932 511,165 715,631 817,864 1,022,330 1,431,262 2,044,660 2,862,524 3,578,155 4,089,320 5,725,048 7,156,310 14,312,620 28,625,240

Collatz Trajectory (100 steps to reach 1)

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

28,625,240 14,312,620 7,156,310 3,578,155 10,734,466 5,367,233 16,101,700 8,050,850 4,025,425 12,076,276 6,038,138 3,019,069 9,057,208 4,528,604 2,264,302 1,132,151 3,396,454 1,698,227 5,094,682 2,547,341 7,642,024 3,821,012 1,910,506 955,253 2,865,760 1,432,880 716,440 358,220 179,110 89,555 268,666 134,333 403,000 201,500 100,750 50,375 151,126 75,563 226,690 113,345 340,036 170,018 85,009 255,028 127,514 63,757 191,272 95,636 47,818 23,909 71,728 35,864 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044

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