8,225,307

3⁷ × 3761

8,225,307 factors as 3^7 × 3761. Its 16 positive divisors give a proper-divisor sum of 4,114,053, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 3^7 × 3761

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,339,360

Proper Divisor Sum 4,114,053

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8225293 ← → #8225317

Radix Representation

Decimal	8225307
Binary	11111011000001000011011 (23 bits)
Octal	0o37301033
Hexadecimal	0x7D821B

Divisor Catalog (16)

1 3 9 27 81 243 729 2,187 3,761 11,283 33,849 101,547 304,641 913,923 2,741,769 8,225,307

Collatz Trajectory (243 steps to reach 1)

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

8,225,307 24,675,922 12,337,961 37,013,884 18,506,942 9,253,471 27,760,414 13,880,207 41,640,622 20,820,311 62,460,934 31,230,467 93,691,402 46,845,701 140,537,104 70,268,552 35,134,276 17,567,138 8,783,569 26,350,708 13,175,354 6,587,677 19,763,032 9,881,516 4,940,758 2,470,379 7,411,138 3,705,569 11,116,708 5,558,354 2,779,177 8,337,532 4,168,766 2,084,383 6,253,150 3,126,575 9,379,726 4,689,863 14,069,590 7,034,795 21,104,386 10,552,193 31,656,580 15,828,290 7,914,145 23,742,436 11,871,218 5,935,609 17,806,828 8,903,414 4,451,707 13,355,122 6,677,561 20,032,684 10,016,342 5,008,171 15,024,514 7,512,257 22,536,772 11,268,386

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