8,589,762

2 × 3² × 477209

Starting at 8,589,762, the Collatz iteration reaches 1 after 155 steps. The first transition is 4294881; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 477209

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,611,190

Proper Divisor Sum 10,021,428

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8589739 ← → #8589769

Radix Representation

Decimal	8589762
Binary	100000110001000111000010 (24 bits)
Octal	0o40610702
Hexadecimal	0x8311C2

Divisor Catalog (12)

1 2 3 6 9 18 477,209 954,418 1,431,627 2,863,254 4,294,881 8,589,762

Collatz Trajectory (155 steps to reach 1)

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

8,589,762 4,294,881 12,884,644 6,442,322 3,221,161 9,663,484 4,831,742 2,415,871 7,247,614 3,623,807 10,871,422 5,435,711 16,307,134 8,153,567 24,460,702 12,230,351 36,691,054 18,345,527 55,036,582 27,518,291 82,554,874 41,277,437 123,832,312 61,916,156 30,958,078 15,479,039 46,437,118 23,218,559 69,655,678 34,827,839 104,483,518 52,241,759 156,725,278 78,362,639 235,087,918 117,543,959 352,631,878 176,315,939 528,947,818 264,473,909 793,421,728 396,710,864 198,355,432 99,177,716 49,588,858 24,794,429 74,383,288 37,191,644 18,595,822 9,297,911 27,893,734 13,946,867 41,840,602 20,920,301 62,760,904 31,380,452 15,690,226 7,845,113 23,535,340 11,767,670

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