9,164,575

5² × 7 × 52369

Starting at 9,164,575, the Collatz iteration reaches 1 after 163 steps. The first transition is 27493726; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 52369

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,987,760

Proper Divisor Sum 3,823,185

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9164563 ← → #9164587

Radix Representation

Decimal	9164575
Binary	100010111101011100011111 (24 bits)
Octal	0o42753437
Hexadecimal	0x8BD71F

Divisor Catalog (12)

1 5 7 25 35 175 52,369 261,845 366,583 1,309,225 1,832,915 9,164,575

Collatz Trajectory (163 steps to reach 1)

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

9,164,575 27,493,726 13,746,863 41,240,590 20,620,295 61,860,886 30,930,443 92,791,330 46,395,665 139,186,996 69,593,498 34,796,749 104,390,248 52,195,124 26,097,562 13,048,781 39,146,344 19,573,172 9,786,586 4,893,293 14,679,880 7,339,940 3,669,970 1,834,985 5,504,956 2,752,478 1,376,239 4,128,718 2,064,359 6,193,078 3,096,539 9,289,618 4,644,809 13,934,428 6,967,214 3,483,607 10,450,822 5,225,411 15,676,234 7,838,117 23,514,352 11,757,176 5,878,588 2,939,294 1,469,647 4,408,942 2,204,471 6,613,414 3,306,707 9,920,122 4,960,061 14,880,184 7,440,092 3,720,046 1,860,023 5,580,070 2,790,035 8,370,106 4,185,053 12,555,160

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