9,182,176

2⁵ × 17 × 16879

Starting at 9,182,176, the Collatz iteration reaches 1 after 132 steps. The first transition is 4591088; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 16879

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,141,920

Proper Divisor Sum 9,959,744

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9182171 ← → #9182233

Radix Representation

Decimal	9182176
Binary	100011000001101111100000 (24 bits)
Octal	0o43015740
Hexadecimal	0x8C1BE0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 16,879 33,758 67,516 135,032 270,064 286,943 540,128 573,886 1,147,772 2,295,544 4,591,088 9,182,176

Collatz Trajectory (132 steps to reach 1)

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

9,182,176 4,591,088 2,295,544 1,147,772 573,886 286,943 860,830 430,415 1,291,246 645,623 1,936,870 968,435 2,905,306 1,452,653 4,357,960 2,178,980 1,089,490 544,745 1,634,236 817,118 408,559 1,225,678 612,839 1,838,518 919,259 2,757,778 1,378,889 4,136,668 2,068,334 1,034,167 3,102,502 1,551,251 4,653,754 2,326,877 6,980,632 3,490,316 1,745,158 872,579 2,617,738 1,308,869 3,926,608 1,963,304 981,652 490,826 245,413 736,240 368,120 184,060 92,030 46,015 138,046 69,023 207,070 103,535 310,606 155,303 465,910 232,955 698,866 349,433

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