988,592

2⁴ × 11 × 41 × 137

For 988,592, the 40 positive divisors have a total of 2,156,112. Removing 988,592 leaves 1,167,520, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 11 × 41 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,156,112

Proper Divisor Sum 1,167,520

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #988591 ← → #988607

Radix Representation

Decimal	988592
Binary	11110001010110110000 (20 bits)
Octal	0o3612660
Hexadecimal	0xF15B0

Divisor Catalog (40)

1 2 4 8 11 16 22 41 44 82 88 137 164 176 274 328 451 548 656 902 1,096 1,507 1,804 2,192 3,014 3,608 5,617 6,028 7,216 11,234 12,056 22,468 24,112 44,936 61,787 89,872 123,574 247,148 494,296 988,592

Collatz Trajectory (64 steps to reach 1)

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

988,592 494,296 247,148 123,574 61,787 185,362 92,681 278,044 139,022 69,511 208,534 104,267 312,802 156,401 469,204 234,602 117,301 351,904 175,952 87,976 43,988 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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