8,438,601

3 × 2812867

Starting at 8,438,601, the Collatz iteration reaches 1 after 168 steps. The first transition is 25315804; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2812867

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,251,472

Proper Divisor Sum 2,812,871

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8438587 ← → #8438609

Radix Representation

Decimal	8438601
Binary	100000001100001101001001 (24 bits)
Octal	0o40141511
Hexadecimal	0x80C349

Divisor Catalog (4)

1 3 2,812,867 8,438,601

Collatz Trajectory (168 steps to reach 1)

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

8,438,601 25,315,804 12,657,902 6,328,951 18,986,854 9,493,427 28,480,282 14,240,141 42,720,424 21,360,212 10,680,106 5,340,053 16,020,160 8,010,080 4,005,040 2,002,520 1,001,260 500,630 250,315 750,946 375,473 1,126,420 563,210 281,605 844,816 422,408 211,204 105,602 52,801 158,404 79,202 39,601 118,804 59,402 29,701 89,104 44,552 22,276 11,138 5,569 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248

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