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5,589,952

26 × 19 × 4597
Abundant Even Composite

5,589,952 factors as 2^6 × 19 × 4597. Its 28 positive divisors give a proper-divisor sum of 6,088,968, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 4597
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 11,678,920
Proper Divisor Sum 6,088,968
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5589949 ← → #5589959

Radix Representation

Decimal 5589952
Binary 10101010100101111000000 (23 bits)
Octal 0o25245700
Hexadecimal 0x554BC0

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 4,597 9,194 18,388 36,776 73,552 87,343 147,104 174,686 294,208 349,372 698,744 1,397,488 2,794,976 5,589,952

Collatz Trajectory (82 steps to reach 1)

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

5,589,952 2,794,976 1,397,488 698,744 349,372 174,686 87,343 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268 331,634 165,817 497,452 248,726 124,363 373,090 186,545 559,636 279,818 139,909 419,728 209,864 104,932 52,466 26,233 78,700 39,350 19,675 59,026 29,513 88,540 44,270 22,135 66,406 33,203 99,610 49,805 149,416 74,708 37,354 18,677 56,032 28,016 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912

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