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Atlas › Integer Profiles › Node 28,299,760

28,299,760

24 × 5 × 353747
Abundant Even Composite

28,299,760 factors as 2^4 × 5 × 353747. Its 20 positive divisors give a proper-divisor sum of 37,497,368, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 353747
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 65,797,128
Proper Divisor Sum 37,497,368
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #28299757 ← → #28299769

Radix Representation

Decimal 28299760
Binary 1101011111101000111110000 (25 bits)
Octal 0o153750760
Hexadecimal 0x1AFD1F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 353,747 707,494 1,414,988 1,768,735 2,829,976 3,537,470 5,659,952 7,074,940 14,149,880 28,299,760

Collatz Trajectory (74 steps to reach 1)

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

28,299,760 14,149,880 7,074,940 3,537,470 1,768,735 5,306,206 2,653,103 7,959,310 3,979,655 11,938,966 5,969,483 17,908,450 8,954,225 26,862,676 13,431,338 6,715,669 20,147,008 10,073,504 5,036,752 2,518,376 1,259,188 629,594 314,797 944,392 472,196 236,098 118,049 354,148 177,074 88,537 265,612 132,806 66,403 199,210 99,605 298,816 149,408 74,704 37,352 18,676 9,338 4,669 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832

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