6,774,906

2 × 3 × 19 × 67 × 887

Starting at 6,774,906, the Collatz iteration reaches 1 after 129 steps. The first transition is 3387453; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 67 × 887

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,492,160

Proper Divisor Sum 7,717,254

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6774899 ← → #6774931

Radix Representation

Decimal	6774906
Binary	11001110110000001111010 (23 bits)
Octal	0o31660172
Hexadecimal	0x67607A

Divisor Catalog (32)

1 2 3 6 19 38 57 67 114 134 201 402 887 1,273 1,774 2,546 2,661 3,819 5,322 7,638 16,853 33,706 50,559 59,429 101,118 118,858 178,287 356,574 1,129,151 2,258,302 3,387,453 6,774,906

Collatz Trajectory (129 steps to reach 1)

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

6,774,906 3,387,453 10,162,360 5,081,180 2,540,590 1,270,295 3,810,886 1,905,443 5,716,330 2,858,165 8,574,496 4,287,248 2,143,624 1,071,812 535,906 267,953 803,860 401,930 200,965 602,896 301,448 150,724 75,362 37,681 113,044 56,522 28,261 84,784 42,392 21,196 10,598 5,299 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180

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