6,633,188

2² × 643 × 2579

Starting at 6,633,188, the Collatz iteration reaches 1 after 72 steps. The first transition is 3316594; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 643 × 2579

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,630,640

Proper Divisor Sum 4,997,452

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6633181 ← → #6633191

Radix Representation

Decimal	6633188
Binary	11001010011011011100100 (23 bits)
Octal	0o31233344
Hexadecimal	0x6536E4

Divisor Catalog (12)

1 2 4 643 1,286 2,572 2,579 5,158 10,316 1,658,297 3,316,594 6,633,188

Collatz Trajectory (72 steps to reach 1)

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

6,633,188 3,316,594 1,658,297 4,974,892 2,487,446 1,243,723 3,731,170 1,865,585 5,596,756 2,798,378 1,399,189 4,197,568 2,098,784 1,049,392 524,696 262,348 131,174 65,587 196,762 98,381 295,144 147,572 73,786 36,893 110,680 55,340 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34

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