8,624,262

2 × 3 × 31 × 199 × 233

Starting at 8,624,262, the Collatz iteration reaches 1 after 168 steps. The first transition is 4312131; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 199 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,971,200

Proper Divisor Sum 9,346,938

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8624251 ← → #8624267

Radix Representation

Decimal	8624262
Binary	100000111001100010000110 (24 bits)
Octal	0o40714206
Hexadecimal	0x839886

Divisor Catalog (32)

1 2 3 6 31 62 93 186 199 233 398 466 597 699 1,194 1,398 6,169 7,223 12,338 14,446 18,507 21,669 37,014 43,338 46,367 92,734 139,101 278,202 1,437,377 2,874,754 4,312,131 8,624,262

Collatz Trajectory (168 steps to reach 1)

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

8,624,262 4,312,131 12,936,394 6,468,197 19,404,592 9,702,296 4,851,148 2,425,574 1,212,787 3,638,362 1,819,181 5,457,544 2,728,772 1,364,386 682,193 2,046,580 1,023,290 511,645 1,534,936 767,468 383,734 191,867 575,602 287,801 863,404 431,702 215,851 647,554 323,777 971,332 485,666 242,833 728,500 364,250 182,125 546,376 273,188 136,594 68,297 204,892 102,446 51,223 153,670 76,835 230,506 115,253 345,760 172,880 86,440 43,220 21,610 10,805 32,416 16,208 8,104 4,052 2,026 1,013 3,040 1,520

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