8,048,238

2 × 3 × 11 × 197 × 619

Starting at 8,048,238, the Collatz iteration reaches 1 after 168 steps. The first transition is 4024119; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 197 × 619

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,677,440

Proper Divisor Sum 9,629,202

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8048207 ← → #8048269

Radix Representation

Decimal	8048238
Binary	11110101100111001101110 (23 bits)
Octal	0o36547156
Hexadecimal	0x7ACE6E

Divisor Catalog (32)

1 2 3 6 11 22 33 66 197 394 591 619 1,182 1,238 1,857 2,167 3,714 4,334 6,501 6,809 13,002 13,618 20,427 40,854 121,943 243,886 365,829 731,658 1,341,373 2,682,746 4,024,119 8,048,238

Collatz Trajectory (168 steps to reach 1)

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

8,048,238 4,024,119 12,072,358 6,036,179 18,108,538 9,054,269 27,162,808 13,581,404 6,790,702 3,395,351 10,186,054 5,093,027 15,279,082 7,639,541 22,918,624 11,459,312 5,729,656 2,864,828 1,432,414 716,207 2,148,622 1,074,311 3,222,934 1,611,467 4,834,402 2,417,201 7,251,604 3,625,802 1,812,901 5,438,704 2,719,352 1,359,676 679,838 339,919 1,019,758 509,879 1,529,638 764,819 2,294,458 1,147,229 3,441,688 1,720,844 860,422 430,211 1,290,634 645,317 1,935,952 967,976 483,988 241,994 120,997 362,992 181,496 90,748 45,374 22,687 68,062 34,031 102,094 51,047

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