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15,388,864

26 × 83 × 2897
Abundant Even Composite

15,388,864 factors as 2^6 × 83 × 2897. Its 28 positive divisors give a proper-divisor sum of 15,527,000, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^6 × 83 × 2897
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 30,915,864
Proper Divisor Sum 15,527,000
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #15388843 ← → #15388871

Radix Representation

Decimal 15388864
Binary 111010101101000011000000 (24 bits)
Octal 0o72550300
Hexadecimal 0xEAD0C0

Divisor Catalog (28)

1 2 4 8 16 32 64 83 166 332 664 1,328 2,656 2,897 5,312 5,794 11,588 23,176 46,352 92,704 185,408 240,451 480,902 961,804 1,923,608 3,847,216 7,694,432 15,388,864

Collatz Trajectory (73 steps to reach 1)

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

15,388,864 7,694,432 3,847,216 1,923,608 961,804 480,902 240,451 721,354 360,677 1,082,032 541,016 270,508 135,254 67,627 202,882 101,441 304,324 152,162 76,081 228,244 114,122 57,061 171,184 85,592 42,796 21,398 10,699 32,098 16,049 48,148 24,074 12,037 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454

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