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7,209,536

26 × 127 × 887
Abundant Even Composite

7,209,536 factors as 2^6 × 127 × 887. Its 28 positive divisors give a proper-divisor sum of 7,225,792, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^6 × 127 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 14,435,328
Proper Divisor Sum 7,225,792
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7209533 ← → #7209539

Radix Representation

Decimal 7209536
Binary 11011100000001001000000 (23 bits)
Octal 0o33401100
Hexadecimal 0x6E0240

Divisor Catalog (28)

1 2 4 8 16 32 64 127 254 508 887 1,016 1,774 2,032 3,548 4,064 7,096 8,128 14,192 28,384 56,768 112,649 225,298 450,596 901,192 1,802,384 3,604,768 7,209,536

Collatz Trajectory (116 steps to reach 1)

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

7,209,536 3,604,768 1,802,384 901,192 450,596 225,298 112,649 337,948 168,974 84,487 253,462 126,731 380,194 190,097 570,292 285,146 142,573 427,720 213,860 106,930 53,465 160,396 80,198 40,099 120,298 60,149 180,448 90,224 45,112 22,556 11,278 5,639 16,918 8,459 25,378 12,689 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276

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