8,311,938

2 × 3 × 191 × 7253

Starting at 8,311,938, the Collatz iteration reaches 1 after 168 steps. The first transition is 4155969; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 191 × 7253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,713,216

Proper Divisor Sum 8,401,278

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8311909 ← → #8311957

Radix Representation

Decimal	8311938
Binary	11111101101010010000010 (23 bits)
Octal	0o37552202
Hexadecimal	0x7ED482

Divisor Catalog (16)

1 2 3 6 191 382 573 1,146 7,253 14,506 21,759 43,518 1,385,323 2,770,646 4,155,969 8,311,938

Collatz Trajectory (168 steps to reach 1)

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

8,311,938 4,155,969 12,467,908 6,233,954 3,116,977 9,350,932 4,675,466 2,337,733 7,013,200 3,506,600 1,753,300 876,650 438,325 1,314,976 657,488 328,744 164,372 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41

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