6,612,398

2 × 13 × 41 × 6203

Starting at 6,612,398, the Collatz iteration reaches 1 after 178 steps. The first transition is 3306199; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 41 × 6203

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,943,856

Proper Divisor Sum 4,331,458

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6612391 ← → #6612401

Radix Representation

Decimal	6612398
Binary	11001001110010110101110 (23 bits)
Octal	0o31162656
Hexadecimal	0x64E5AE

Divisor Catalog (16)

1 2 13 26 41 82 533 1,066 6,203 12,406 80,639 161,278 254,323 508,646 3,306,199 6,612,398

Collatz Trajectory (178 steps to reach 1)

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

6,612,398 3,306,199 9,918,598 4,959,299 14,877,898 7,438,949 22,316,848 11,158,424 5,579,212 2,789,606 1,394,803 4,184,410 2,092,205 6,276,616 3,138,308 1,569,154 784,577 2,353,732 1,176,866 588,433 1,765,300 882,650 441,325 1,323,976 661,988 330,994 165,497 496,492 248,246 124,123 372,370 186,185 558,556 279,278 139,639 418,918 209,459 628,378 314,189 942,568 471,284 235,642 117,821 353,464 176,732 88,366 44,183 132,550 66,275 198,826 99,413 298,240 149,120 74,560 37,280 18,640 9,320 4,660 2,330 1,165

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