8,078,257

11 × 67 × 97 × 113

Starting at 8,078,257, the Collatz iteration reaches 1 after 93 steps. The first transition is 24234772; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 67 × 97 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,116,352

Proper Divisor Sum 1,038,095

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8078251 ← → #8078261

Radix Representation

Decimal	8078257
Binary	11110110100001110110001 (23 bits)
Octal	0o36641661
Hexadecimal	0x7B43B1

Divisor Catalog (16)

1 11 67 97 113 737 1,067 1,243 6,499 7,571 10,961 71,489 83,281 120,571 734,387 8,078,257

Collatz Trajectory (93 steps to reach 1)

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

8,078,257 24,234,772 12,117,386 6,058,693 18,176,080 9,088,040 4,544,020 2,272,010 1,136,005 3,408,016 1,704,008 852,004 426,002 213,001 639,004 319,502 159,751 479,254 239,627 718,882 359,441 1,078,324 539,162 269,581 808,744 404,372 202,186 101,093 303,280 151,640 75,820 37,910 18,955 56,866 28,433 85,300 42,650 21,325 63,976 31,988 15,994 7,997 23,992 11,996 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424

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