7,747,176

2³ × 3 × 29 × 11131

Starting at 7,747,176, the Collatz iteration reaches 1 after 217 steps. The first transition is 3873588; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 29 × 11131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,037,600

Proper Divisor Sum 12,290,424

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7747153 ← → #7747211

Radix Representation

Decimal	7747176
Binary	11101100011011001101000 (23 bits)
Octal	0o35433150
Hexadecimal	0x763668

Divisor Catalog (32)

1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 11,131 22,262 33,393 44,524 66,786 89,048 133,572 267,144 322,799 645,598 968,397 1,291,196 1,936,794 2,582,392 3,873,588 7,747,176

Collatz Trajectory (217 steps to reach 1)

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

7,747,176 3,873,588 1,936,794 968,397 2,905,192 1,452,596 726,298 363,149 1,089,448 544,724 272,362 136,181 408,544 204,272 102,136 51,068 25,534 12,767 38,302 19,151 57,454 28,727 86,182 43,091 129,274 64,637 193,912 96,956 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191

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