8,248,774

2 × 17 × 19 × 113²

Starting at 8,248,774, the Collatz iteration reaches 1 after 199 steps. The first transition is 4124387; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 113^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,913,640

Proper Divisor Sum 5,664,866

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8248769 ← → #8248841

Radix Representation

Decimal	8248774
Binary	11111011101110111000110 (23 bits)
Octal	0o37356706
Hexadecimal	0x7DDDC6

Divisor Catalog (24)

1 2 17 19 34 38 113 226 323 646 1,921 2,147 3,842 4,294 12,769 25,538 36,499 72,998 217,073 242,611 434,146 485,222 4,124,387 8,248,774

Collatz Trajectory (199 steps to reach 1)

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

8,248,774 4,124,387 12,373,162 6,186,581 18,559,744 9,279,872 4,639,936 2,319,968 1,159,984 579,992 289,996 144,998 72,499 217,498 108,749 326,248 163,124 81,562 40,781 122,344 61,172 30,586 15,293 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723

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