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8,268,728

23 × 13 × 433
Abundant Even Composite

8,268,728 factors as 2^3 × 13 × 43^3. Its 32 positive divisors give a proper-divisor sum of 8,825,272, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 43^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,094,000
Proper Divisor Sum 8,825,272
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8268713 ← → #8268739

Radix Representation

Decimal 8268728
Binary 11111100010101110111000 (23 bits)
Octal 0o37425670
Hexadecimal 0x7E2BB8

Divisor Catalog (32)

1 2 4 8 13 26 43 52 86 104 172 344 559 1,118 1,849 2,236 3,698 4,472 7,396 14,792 24,037 48,074 79,507 96,148 159,014 192,296 318,028 636,056 1,033,591 2,067,182 4,134,364 8,268,728

Collatz Trajectory (111 steps to reach 1)

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

8,268,728 4,134,364 2,067,182 1,033,591 3,100,774 1,550,387 4,651,162 2,325,581 6,976,744 3,488,372 1,744,186 872,093 2,616,280 1,308,140 654,070 327,035 981,106 490,553 1,471,660 735,830 367,915 1,103,746 551,873 1,655,620 827,810 413,905 1,241,716 620,858 310,429 931,288 465,644 232,822 116,411 349,234 174,617 523,852 261,926 130,963 392,890 196,445 589,336 294,668 147,334 73,667 221,002 110,501 331,504 165,752 82,876 41,438 20,719 62,158 31,079 93,238 46,619 139,858 69,929 209,788 104,894 52,447

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