8,348,232

2³ × 3 × 137 × 2539

Starting at 8,348,232, the Collatz iteration reaches 1 after 199 steps. The first transition is 4174116; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 137 × 2539

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,031,200

Proper Divisor Sum 12,682,968

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8348231 ← → #8348243

Radix Representation

Decimal	8348232
Binary	11111110110001001001000 (23 bits)
Octal	0o37661110
Hexadecimal	0x7F6248

Divisor Catalog (32)

1 2 3 4 6 8 12 24 137 274 411 548 822 1,096 1,644 2,539 3,288 5,078 7,617 10,156 15,234 20,312 30,468 60,936 347,843 695,686 1,043,529 1,391,372 2,087,058 2,782,744 4,174,116 8,348,232

Collatz Trajectory (199 steps to reach 1)

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

8,348,232 4,174,116 2,087,058 1,043,529 3,130,588 1,565,294 782,647 2,347,942 1,173,971 3,521,914 1,760,957 5,282,872 2,641,436 1,320,718 660,359 1,981,078 990,539 2,971,618 1,485,809 4,457,428 2,228,714 1,114,357 3,343,072 1,671,536 835,768 417,884 208,942 104,471 313,414 156,707 470,122 235,061 705,184 352,592 176,296 88,148 44,074 22,037 66,112 33,056 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474

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