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Atlas › Integer Profiles › Node 28,295,748

28,295,748

22 × 32 × 13 × 103 × 587
Abundant Even Composite

28,295,748 factors as 2^2 × 3^2 × 13 × 103 × 587. Its 72 positive divisors give a proper-divisor sum of 49,611,900, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 103 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 77,907,648
Proper Divisor Sum 49,611,900
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #28295747 ← → #28295767

Radix Representation

Decimal 28295748
Binary 1101011111100001001000100 (25 bits)
Octal 0o153741104
Hexadecimal 0x1AFC244

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 587 618 927 1,174 1,236 1,339 1,761 1,854 2,348 2,678 3,522 3,708 4,017 5,283 5,356 7,044 7,631 8,034 10,566 12,051 15,262 16,068 21,132 22,893 24,102 30,524 45,786 48,204 60,461 68,679 91,572 120,922 137,358 181,383 241,844 274,716 362,766 544,149

Collatz Trajectory (175 steps to reach 1)

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

28,295,748 14,147,874 7,073,937 21,221,812 10,610,906 5,305,453 15,916,360 7,958,180 3,979,090 1,989,545 5,968,636 2,984,318 1,492,159 4,476,478 2,238,239 6,714,718 3,357,359 10,072,078 5,036,039 15,108,118 7,554,059 22,662,178 11,331,089 33,993,268 16,996,634 8,498,317 25,494,952 12,747,476 6,373,738 3,186,869 9,560,608 4,780,304 2,390,152 1,195,076 597,538 298,769 896,308 448,154 224,077 672,232 336,116 168,058 84,029 252,088 126,044 63,022 31,511 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914

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