8,711,055

3² × 5 × 17 × 59 × 193

Starting at 8,711,055, the Collatz iteration reaches 1 after 212 steps. The first transition is 26133166; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 59 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,342,560

Proper Divisor Sum 7,631,505

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8711051 ← → #8711071

Radix Representation

Decimal	8711055
Binary	100001001110101110001111 (24 bits)
Octal	0o41165617
Hexadecimal	0x84EB8F

Divisor Catalog (48)

1 3 5 9 15 17 45 51 59 85 153 177 193 255 295 531 579 765 885 965 1,003 1,737 2,655 2,895 3,009 3,281 5,015 8,685 9,027 9,843 11,387 15,045 16,405 29,529 34,161 45,135 49,215 56,935 102,483 147,645 170,805 193,579 512,415 580,737 967,895 1,742,211 2,903,685 8,711,055

Collatz Trajectory (212 steps to reach 1)

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

8,711,055 26,133,166 13,066,583 39,199,750 19,599,875 58,799,626 29,399,813 88,199,440 44,099,720 22,049,860 11,024,930 5,512,465 16,537,396 8,268,698 4,134,349 12,403,048 6,201,524 3,100,762 1,550,381 4,651,144 2,325,572 1,162,786 581,393 1,744,180 872,090 436,045 1,308,136 654,068 327,034 163,517 490,552 245,276 122,638 61,319 183,958 91,979 275,938 137,969 413,908 206,954 103,477 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214

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