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4,880,128

28 × 11 × 1733
Abundant Even Composite

4,880,128 factors as 2^8 × 11 × 1733. Its 36 positive divisors give a proper-divisor sum of 5,752,760, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^8 × 11 × 1733
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,632,888
Proper Divisor Sum 5,752,760
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4880119 ← → #4880129

Radix Representation

Decimal 4880128
Binary 10010100111011100000000 (23 bits)
Octal 0o22473400
Hexadecimal 0x4A7700

Divisor Catalog (36)

1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1,408 1,733 2,816 3,466 6,932 13,864 19,063 27,728 38,126 55,456 76,252 110,912 152,504 221,824 305,008 443,648 610,016 1,220,032 2,440,064 4,880,128

Collatz Trajectory (87 steps to reach 1)

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

4,880,128 2,440,064 1,220,032 610,016 305,008 152,504 76,252 38,126 19,063 57,190 28,595 85,786 42,893 128,680 64,340 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866

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