8,679,008

2⁵ × 13 × 31 × 673

Starting at 8,679,008, the Collatz iteration reaches 1 after 119 steps. The first transition is 4339504; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 31 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,022,976

Proper Divisor Sum 10,343,968

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8678963 ← → #8679037

Radix Representation

Decimal	8679008
Binary	100001000110111001100000 (24 bits)
Octal	0o41067140
Hexadecimal	0x846E60

Divisor Catalog (48)

Collatz Trajectory (119 steps to reach 1)

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

8,679,008 4,339,504 2,169,752 1,084,876 542,438 271,219 813,658 406,829 1,220,488 610,244 305,122 152,561 457,684 228,842 114,421 343,264 171,632 85,816 42,908 21,454 10,727 32,182 16,091 48,274 24,137 72,412 36,206 18,103 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179

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