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4,482,756

22 × 33 × 41507
Abundant Even Composite

4,482,756 factors as 2^2 × 3^3 × 41507. Its 24 positive divisors give a proper-divisor sum of 7,139,484, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,622,240
Proper Divisor Sum 7,139,484
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4482749 ← → #4482767

Radix Representation

Decimal 4482756
Binary 10001000110011011000100 (23 bits)
Octal 0o21063304
Hexadecimal 0x4466C4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 41,507 83,014 124,521 166,028 249,042 373,563 498,084 747,126 1,120,689 1,494,252 2,241,378 4,482,756

Collatz Trajectory (136 steps to reach 1)

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

4,482,756 2,241,378 1,120,689 3,362,068 1,681,034 840,517 2,521,552 1,260,776 630,388 315,194 157,597 472,792 236,396 118,198 59,099 177,298 88,649 265,948 132,974 66,487 199,462 99,731 299,194 149,597 448,792 224,396 112,198 56,099 168,298 84,149 252,448 126,224 63,112 31,556 15,778 7,889 23,668 11,834 5,917 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791

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