7,293,260

2² × 5 × 13 × 28051

7,293,260 factors as 2^2 × 5 × 13 × 28051. Its 24 positive divisors give a proper-divisor sum of 9,201,316, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 28051

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,494,576

Proper Divisor Sum 9,201,316

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7293257 ← → #7293271

Radix Representation

Decimal	7293260
Binary	11011110100100101001100 (23 bits)
Octal	0o33644514
Hexadecimal	0x6F494C

Divisor Catalog (24)

Collatz Trajectory (204 steps to reach 1)

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

7,293,260 3,646,630 1,823,315 5,469,946 2,734,973 8,204,920 4,102,460 2,051,230 1,025,615 3,076,846 1,538,423 4,615,270 2,307,635 6,922,906 3,461,453 10,384,360 5,192,180 2,596,090 1,298,045 3,894,136 1,947,068 973,534 486,767 1,460,302 730,151 2,190,454 1,095,227 3,285,682 1,642,841 4,928,524 2,464,262 1,232,131 3,696,394 1,848,197 5,544,592 2,772,296 1,386,148 693,074 346,537 1,039,612 519,806 259,903 779,710 389,855 1,169,566 584,783 1,754,350 877,175 2,631,526 1,315,763 3,947,290 1,973,645 5,920,936 2,960,468 1,480,234 740,117 2,220,352 1,110,176 555,088 277,544

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