7,197,970

2 × 5 × 13 × 17 × 3257

7,197,970 factors as 2 × 5 × 13 × 17 × 3257. Its 32 positive divisors give a proper-divisor sum of 7,580,318, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 3257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,778,288

Proper Divisor Sum 7,580,318

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7197961 ← → #7197977

Radix Representation

Decimal	7197970
Binary	11011011101010100010010 (23 bits)
Octal	0o33352422
Hexadecimal	0x6DD512

Divisor Catalog (32)

Collatz Trajectory (209 steps to reach 1)

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

7,197,970 3,598,985 10,796,956 5,398,478 2,699,239 8,097,718 4,048,859 12,146,578 6,073,289 18,219,868 9,109,934 4,554,967 13,664,902 6,832,451 20,497,354 10,248,677 30,746,032 15,373,016 7,686,508 3,843,254 1,921,627 5,764,882 2,882,441 8,647,324 4,323,662 2,161,831 6,485,494 3,242,747 9,728,242 4,864,121 14,592,364 7,296,182 3,648,091 10,944,274 5,472,137 16,416,412 8,208,206 4,104,103 12,312,310 6,156,155 18,468,466 9,234,233 27,702,700 13,851,350 6,925,675 20,777,026 10,388,513 31,165,540 15,582,770 7,791,385 23,374,156 11,687,078 5,843,539 17,530,618 8,765,309 26,295,928 13,147,964 6,573,982 3,286,991 9,860,974

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