8,612,004

2² × 3 × 717667

Starting at 8,612,004, the Collatz iteration reaches 1 after 243 steps. The first transition is 4306002; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 717667

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,094,704

Proper Divisor Sum 11,482,700

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8611991 ← → #8612011

Radix Representation

Decimal	8612004
Binary	100000110110100010100100 (24 bits)
Octal	0o40664244
Hexadecimal	0x8368A4

Divisor Catalog (12)

1 2 3 4 6 12 717,667 1,435,334 2,153,001 2,870,668 4,306,002 8,612,004

Collatz Trajectory (243 steps to reach 1)

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

8,612,004 4,306,002 2,153,001 6,459,004 3,229,502 1,614,751 4,844,254 2,422,127 7,266,382 3,633,191 10,899,574 5,449,787 16,349,362 8,174,681 24,524,044 12,262,022 6,131,011 18,393,034 9,196,517 27,589,552 13,794,776 6,897,388 3,448,694 1,724,347 5,173,042 2,586,521 7,759,564 3,879,782 1,939,891 5,819,674 2,909,837 8,729,512 4,364,756 2,182,378 1,091,189 3,273,568 1,636,784 818,392 409,196 204,598 102,299 306,898 153,449 460,348 230,174 115,087 345,262 172,631 517,894 258,947 776,842 388,421 1,165,264 582,632 291,316 145,658 72,829 218,488 109,244 54,622

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