15,212,208

2⁴ × 3 × 11 × 47 × 613

15,212,208 factors as 2^4 × 3 × 11 × 47 × 613. Its 80 positive divisors give a proper-divisor sum of 28,642,128, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 47 × 613

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 43,854,336

Proper Divisor Sum 28,642,128

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #15212191 ← → #15212213

Radix Representation

Decimal	15212208
Binary	111010000001111010110000 (24 bits)
Octal	0o72017260
Hexadecimal	0xE81EB0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 613 752 1,034 1,128 1,226 1,551 1,839 2,068 2,256 2,452 3,102 3,678 4,136 4,904 6,204 6,743 7,356 8,272 9,808 12,408 13,486 14,712 20,229 24,816 26,972 28,811 29,424 40,458 53,944 57,622 80,916 86,433

Collatz Trajectory (205 steps to reach 1)

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

15,212,208 7,606,104 3,803,052 1,901,526 950,763 2,852,290 1,426,145 4,278,436 2,139,218 1,069,609 3,208,828 1,604,414 802,207 2,406,622 1,203,311 3,609,934 1,804,967 5,414,902 2,707,451 8,122,354 4,061,177 12,183,532 6,091,766 3,045,883 9,137,650 4,568,825 13,706,476 6,853,238 3,426,619 10,279,858 5,139,929 15,419,788 7,709,894 3,854,947 11,564,842 5,782,421 17,347,264 8,673,632 4,336,816 2,168,408 1,084,204 542,102 271,051 813,154 406,577 1,219,732 609,866 304,933 914,800 457,400 228,700 114,350 57,175 171,526 85,763 257,290 128,645 385,936 192,968 96,484

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