6,588,270

2 × 3³ × 5 × 13 × 1877

Starting at 6,588,270, the Collatz iteration reaches 1 after 121 steps. The first transition is 3294135; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13 × 1877

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 18,930,240

Proper Divisor Sum 12,341,970

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6588251 ← → #6588277

Radix Representation

Decimal	6588270
Binary	11001001000011101101110 (23 bits)
Octal	0o31103556
Hexadecimal	0x64876E

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1,170 1,755 1,877 3,510 3,754 5,631 9,385 11,262 16,893 18,770 24,401 28,155 33,786 48,802 50,679 56,310 73,203 84,465 101,358 122,005 146,406 168,930 219,609 244,010 253,395 366,015 439,218 506,790 658,827 732,030 1,098,045

Collatz Trajectory (121 steps to reach 1)

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

6,588,270 3,294,135 9,882,406 4,941,203 14,823,610 7,411,805 22,235,416 11,117,708 5,558,854 2,779,427 8,338,282 4,169,141 12,507,424 6,253,712 3,126,856 1,563,428 781,714 390,857 1,172,572 586,286 293,143 879,430 439,715 1,319,146 659,573 1,978,720 989,360 494,680 247,340 123,670 61,835 185,506 92,753 278,260 139,130 69,565 208,696 104,348 52,174 26,087 78,262 39,131 117,394 58,697 176,092 88,046 44,023 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718 27,859 83,578 41,789

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