4,889,752

2³ × 7 × 87317

4,889,752 factors as 2^3 × 7 × 87317. Its 16 positive divisors give a proper-divisor sum of 5,588,408, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 87317

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,478,160

Proper Divisor Sum 5,588,408

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #4889747 ← → #4889771

Radix Representation

Decimal	4889752
Binary	10010101001110010011000 (23 bits)
Octal	0o22516230
Hexadecimal	0x4A9C98

Divisor Catalog (16)

1 2 4 7 8 14 28 56 87,317 174,634 349,268 611,219 698,536 1,222,438 2,444,876 4,889,752

Collatz Trajectory (144 steps to reach 1)

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

4,889,752 2,444,876 1,222,438 611,219 1,833,658 916,829 2,750,488 1,375,244 687,622 343,811 1,031,434 515,717 1,547,152 773,576 386,788 193,394 96,697 290,092 145,046 72,523 217,570 108,785 326,356 163,178 81,589 244,768 122,384 61,192 30,596 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030

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