982,836

2² × 3² × 23 × 1187

982,836 factors as 2^2 × 3^2 × 23 × 1187. Its 36 positive divisors give a proper-divisor sum of 1,611,756, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 1187

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,594,592

Proper Divisor Sum 1,611,756

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #982829 ← → #982841

Radix Representation

Decimal	982836
Binary	11101111111100110100 (20 bits)
Octal	0o3577464
Hexadecimal	0xEFF34

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1,187 2,374 3,561 4,748 7,122 10,683 14,244 21,366 27,301 42,732 54,602 81,903 109,204 163,806 245,709 327,612 491,418 982,836

Collatz Trajectory (64 steps to reach 1)

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

982,836 491,418 245,709 737,128 368,564 184,282 92,141 276,424 138,212 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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