8,264,490

2 × 3 × 5 × 13 × 21191

Starting at 8,264,490, the Collatz iteration reaches 1 after 111 steps. The first transition is 4132245; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 21191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,361,536

Proper Divisor Sum 13,097,046

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8264467 ← → #8264513

Radix Representation

Decimal	8264490
Binary	11111100001101100101010 (23 bits)
Octal	0o37415452
Hexadecimal	0x7E1B2A

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 21,191 42,382 63,573 105,955 127,146 211,910 275,483 317,865 550,966 635,730 826,449 1,377,415 1,652,898 2,754,830 4,132,245 8,264,490

Collatz Trajectory (111 steps to reach 1)

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

8,264,490 4,132,245 12,396,736 6,198,368 3,099,184 1,549,592 774,796 387,398 193,699 581,098 290,549 871,648 435,824 217,912 108,956 54,478 27,239 81,718 40,859 122,578 61,289 183,868 91,934 45,967 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427

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