7,636,184

2³ × 23 × 47 × 883

Starting at 7,636,184, the Collatz iteration reaches 1 after 173 steps. The first transition is 3818092; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 23 × 47 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,275,520

Proper Divisor Sum 7,639,336

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7636177 ← → #7636229

Radix Representation

Decimal	7636184
Binary	11101001000010011011000 (23 bits)
Octal	0o35102330
Hexadecimal	0x7484D8

Divisor Catalog (32)

1 2 4 8 23 46 47 92 94 184 188 376 883 1,081 1,766 2,162 3,532 4,324 7,064 8,648 20,309 40,618 41,501 81,236 83,002 162,472 166,004 332,008 954,523 1,909,046 3,818,092 7,636,184

Collatz Trajectory (173 steps to reach 1)

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

7,636,184 3,818,092 1,909,046 954,523 2,863,570 1,431,785 4,295,356 2,147,678 1,073,839 3,221,518 1,610,759 4,832,278 2,416,139 7,248,418 3,624,209 10,872,628 5,436,314 2,718,157 8,154,472 4,077,236 2,038,618 1,019,309 3,057,928 1,528,964 764,482 382,241 1,146,724 573,362 286,681 860,044 430,022 215,011 645,034 322,517 967,552 483,776 241,888 120,944 60,472 30,236 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348

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