989,980

2² × 5 × 49499

989,980 factors as 2^2 × 5 × 49499. Its 12 positive divisors give a proper-divisor sum of 1,089,020, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 49499

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,079,000

Proper Divisor Sum 1,089,020

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #989977 ← → #989981

Radix Representation

Decimal	989980
Binary	11110001101100011100 (20 bits)
Octal	0o3615434
Hexadecimal	0xF1B1C

Divisor Catalog (12)

1 2 4 5 10 20 49,499 98,998 197,996 247,495 494,990 989,980

Collatz Trajectory (90 steps to reach 1)

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

989,980 494,990 247,495 742,486 371,243 1,113,730 556,865 1,670,596 835,298 417,649 1,252,948 626,474 313,237 939,712 469,856 234,928 117,464 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048

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