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Atlas › Integer Profiles › Node 28,624,024

28,624,024

23 × 11 × 13 × 131 × 191
Abundant Even Composite

28,624,024 factors as 2^3 × 11 × 13 × 131 × 191. Its 64 positive divisors give a proper-divisor sum of 35,242,856, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 131 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 63,866,880
Proper Divisor Sum 35,242,856
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #28624007 ← → #28624031

Radix Representation

Decimal 28624024
Binary 1101101001100010010011000 (25 bits)
Octal 0o155142230
Hexadecimal 0x1B4C498

Divisor Catalog (60 of 64)

1 2 4 8 11 13 22 26 44 52 88 104 131 143 191 262 286 382 524 572 764 1,048 1,144 1,441 1,528 1,703 2,101 2,483 2,882 3,406 4,202 4,966 5,764 6,812 8,404 9,932 11,528 13,624 16,808 18,733 19,864 25,021 27,313 37,466 50,042 54,626 74,932 100,084 109,252 149,864 200,168 218,504 275,231 325,273 550,462 650,546 1,100,924 1,301,092 2,201,848 2,602,184

Collatz Trajectory (224 steps to reach 1)

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

28,624,024 14,312,012 7,156,006 3,578,003 10,734,010 5,367,005 16,101,016 8,050,508 4,025,254 2,012,627 6,037,882 3,018,941 9,056,824 4,528,412 2,264,206 1,132,103 3,396,310 1,698,155 5,094,466 2,547,233 7,641,700 3,820,850 1,910,425 5,731,276 2,865,638 1,432,819 4,298,458 2,149,229 6,447,688 3,223,844 1,611,922 805,961 2,417,884 1,208,942 604,471 1,813,414 906,707 2,720,122 1,360,061 4,080,184 2,040,092 1,020,046 510,023 1,530,070 765,035 2,295,106 1,147,553 3,442,660 1,721,330 860,665 2,581,996 1,290,998 645,499 1,936,498 968,249 2,904,748 1,452,374 726,187 2,178,562 1,089,281

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