997,208

2³ × 31 × 4021

997,208 factors as 2^3 × 31 × 4021. Its 16 positive divisors give a proper-divisor sum of 933,352, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 4021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,930,560

Proper Divisor Sum 933,352

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #997207 ← → #997219

Radix Representation

Decimal	997208
Binary	11110011011101011000 (20 bits)
Octal	0o3633530
Hexadecimal	0xF3758

Divisor Catalog (16)

1 2 4 8 31 62 124 248 4,021 8,042 16,084 32,168 124,651 249,302 498,604 997,208

Collatz Trajectory (113 steps to reach 1)

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

997,208 498,604 249,302 124,651 373,954 186,977 560,932 280,466 140,233 420,700 210,350 105,175 315,526 157,763 473,290 236,645 709,936 354,968 177,484 88,742 44,371 133,114 66,557 199,672 99,836 49,918 24,959 74,878 37,439 112,318 56,159 168,478 84,239 252,718 126,359 379,078 189,539 568,618 284,309 852,928 426,464 213,232 106,616 53,308 26,654 13,327 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326

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