6,682,391

31 × 157 × 1373

Starting at 6,682,391, the Collatz iteration reaches 1 after 116 steps. The first transition is 20047174; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 157 × 1373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,946,944

Proper Divisor Sum 264,553

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6682369 ← → #6682393

Radix Representation

Decimal	6682391
Binary	11001011111011100010111 (23 bits)
Octal	0o31373427
Hexadecimal	0x65F717

Divisor Catalog (8)

1 31 157 1,373 4,867 42,563 215,561 6,682,391

Collatz Trajectory (116 steps to reach 1)

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

6,682,391 20,047,174 10,023,587 30,070,762 15,035,381 45,106,144 22,553,072 11,276,536 5,638,268 2,819,134 1,409,567 4,228,702 2,114,351 6,343,054 3,171,527 9,514,582 4,757,291 14,271,874 7,135,937 21,407,812 10,703,906 5,351,953 16,055,860 8,027,930 4,013,965 12,041,896 6,020,948 3,010,474 1,505,237 4,515,712 2,257,856 1,128,928 564,464 282,232 141,116 70,558 35,279 105,838 52,919 158,758 79,379 238,138 119,069 357,208 178,604 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385

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