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Atlas › Integer Profiles › Node 28,214,264

28,214,264

23 × 13 × 71 × 3821
Abundant Even Composite

28,214,264 factors as 2^3 × 13 × 71 × 3821. Its 32 positive divisors give a proper-divisor sum of 29,574,376, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 71 × 3821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,788,640
Proper Divisor Sum 29,574,376
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #28214243 ← → #28214267

Radix Representation

Decimal 28214264
Binary 1101011101000001111111000 (25 bits)
Octal 0o153501770
Hexadecimal 0x1AE83F8

Divisor Catalog (32)

1 2 4 8 13 26 52 71 104 142 284 568 923 1,846 3,692 3,821 7,384 7,642 15,284 30,568 49,673 99,346 198,692 271,291 397,384 542,582 1,085,164 2,170,328 3,526,783 7,053,566 14,107,132 28,214,264

Collatz Trajectory (131 steps to reach 1)

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

28,214,264 14,107,132 7,053,566 3,526,783 10,580,350 5,290,175 15,870,526 7,935,263 23,805,790 11,902,895 35,708,686 17,854,343 53,563,030 26,781,515 80,344,546 40,172,273 120,516,820 60,258,410 30,129,205 90,387,616 45,193,808 22,596,904 11,298,452 5,649,226 2,824,613 8,473,840 4,236,920 2,118,460 1,059,230 529,615 1,588,846 794,423 2,383,270 1,191,635 3,574,906 1,787,453 5,362,360 2,681,180 1,340,590 670,295 2,010,886 1,005,443 3,016,330 1,508,165 4,524,496 2,262,248 1,131,124 565,562 282,781 848,344 424,172 212,086 106,043 318,130 159,065 477,196 238,598 119,299 357,898 178,949

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