8,232,002

2 × 97 × 42433

Starting at 8,232,002, the Collatz iteration reaches 1 after 137 steps. The first transition is 4116001; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 97 × 42433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,475,596

Proper Divisor Sum 4,243,594

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #8232001 ← → #8232017

Radix Representation

Decimal	8232002
Binary	11111011001110001000010 (23 bits)
Octal	0o37316102
Hexadecimal	0x7D9C42

Divisor Catalog (8)

1 2 97 194 42,433 84,866 4,116,001 8,232,002

Collatz Trajectory (137 steps to reach 1)

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

8,232,002 4,116,001 12,348,004 6,174,002 3,087,001 9,261,004 4,630,502 2,315,251 6,945,754 3,472,877 10,418,632 5,209,316 2,604,658 1,302,329 3,906,988 1,953,494 976,747 2,930,242 1,465,121 4,395,364 2,197,682 1,098,841 3,296,524 1,648,262 824,131 2,472,394 1,236,197 3,708,592 1,854,296 927,148 463,574 231,787 695,362 347,681 1,043,044 521,522 260,761 782,284 391,142 195,571 586,714 293,357 880,072 440,036 220,018 110,009 330,028 165,014 82,507 247,522 123,761 371,284 185,642 92,821 278,464 139,232 69,616 34,808 17,404 8,702

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