6,972,308

2² × 7² × 35573

6,972,308 factors as 2^2 × 7^2 × 35573. Its 18 positive divisors give a proper-divisor sum of 7,221,718, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 35573

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,194,026

Proper Divisor Sum 7,221,718

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6972307 ← → #6972311

Radix Representation

Decimal	6972308
Binary	11010100110001110010100 (23 bits)
Octal	0o32461624
Hexadecimal	0x6A6394

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 35,573 71,146 142,292 249,011 498,022 996,044 1,743,077 3,486,154 6,972,308

Collatz Trajectory (147 steps to reach 1)

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

6,972,308 3,486,154 1,743,077 5,229,232 2,614,616 1,307,308 653,654 326,827 980,482 490,241 1,470,724 735,362 367,681 1,103,044 551,522 275,761 827,284 413,642 206,821 620,464 310,232 155,116 77,558 38,779 116,338 58,169 174,508 87,254 43,627 130,882 65,441 196,324 98,162 49,081 147,244 73,622 36,811 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206

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