5,222,340

2² × 3³ × 5 × 19 × 509

5,222,340 factors as 2^2 × 3^3 × 5 × 19 × 509. Its 96 positive divisors give a proper-divisor sum of 11,913,660, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 19 × 509

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,136,000

Proper Divisor Sum 11,913,660

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5222339 ← → #5222341

Radix Representation

Decimal	5222340
Binary	10011111010111111000100 (23 bits)
Octal	0o23727704
Hexadecimal	0x4FAFC4

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 509 513 540 570 684 855 1,018 1,026 1,140 1,527 1,710 2,036 2,052 2,545 2,565 3,054 3,420 4,581 5,090 5,130 6,108 7,635 9,162 9,671 10,180

Collatz Trajectory (126 steps to reach 1)

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

5,222,340 2,611,170 1,305,585 3,916,756 1,958,378 979,189 2,937,568 1,468,784 734,392 367,196 183,598 91,799 275,398 137,699 413,098 206,549 619,648 309,824 154,912 77,456 38,728 19,364 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139

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