998,656

2⁸ × 47 × 83

998,656 has the prime decomposition 2^8 × 47 × 83. Its 3 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 47 × 83

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,060,352

Proper Divisor Sum 1,061,696

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #998653 ← → #998681

Radix Representation

Decimal	998656
Binary	11110011110100000000 (20 bits)
Octal	0o3636400
Hexadecimal	0xF3D00

Divisor Catalog (36)

1 2 4 8 16 32 47 64 83 94 128 166 188 256 332 376 664 752 1,328 1,504 2,656 3,008 3,901 5,312 6,016 7,802 10,624 12,032 15,604 21,248 31,208 62,416 124,832 249,664 499,328 998,656

Collatz Trajectory (152 steps to reach 1)

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

998,656 499,328 249,664 124,832 62,416 31,208 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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