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Atlas › Integer Profiles › Node 28,297,948

28,297,948

22 × 7 × 47 × 21503
Abundant Even Composite

28,297,948 factors as 2^2 × 7 × 47 × 21503. Its 24 positive divisors give a proper-divisor sum of 29,504,804, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 47 × 21503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 57,802,752
Proper Divisor Sum 29,504,804
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #28297943 ← → #28297957

Radix Representation

Decimal 28297948
Binary 1101011111100101011011100 (25 bits)
Octal 0o153745334
Hexadecimal 0x1AFCADC

Divisor Catalog (24)

1 2 4 7 14 28 47 94 188 329 658 1,316 21,503 43,006 86,012 150,521 301,042 602,084 1,010,641 2,021,282 4,042,564 7,074,487 14,148,974 28,297,948

Collatz Trajectory (74 steps to reach 1)

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

28,297,948 14,148,974 7,074,487 21,223,462 10,611,731 31,835,194 15,917,597 47,752,792 23,876,396 11,938,198 5,969,099 17,907,298 8,953,649 26,860,948 13,430,474 6,715,237 20,145,712 10,072,856 5,036,428 2,518,214 1,259,107 3,777,322 1,888,661 5,665,984 2,832,992 1,416,496 708,248 354,124 177,062 88,531 265,594 132,797 398,392 199,196 99,598 49,799 149,398 74,699 224,098 112,049 336,148 168,074 84,037 252,112 126,056 63,028 31,514 15,757 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832

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