8,067,726

2 × 3² × 448207

Starting at 8,067,726, the Collatz iteration reaches 1 after 261 steps. The first transition is 4033863; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 448207

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,480,112

Proper Divisor Sum 9,412,386

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8067679 ← → #8067727

Radix Representation

Decimal	8067726
Binary	11110110001101010001110 (23 bits)
Octal	0o36615216
Hexadecimal	0x7B1A8E

Divisor Catalog (12)

1 2 3 6 9 18 448,207 896,414 1,344,621 2,689,242 4,033,863 8,067,726

Collatz Trajectory (261 steps to reach 1)

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

8,067,726 4,033,863 12,101,590 6,050,795 18,152,386 9,076,193 27,228,580 13,614,290 6,807,145 20,421,436 10,210,718 5,105,359 15,316,078 7,658,039 22,974,118 11,487,059 34,461,178 17,230,589 51,691,768 25,845,884 12,922,942 6,461,471 19,384,414 9,692,207 29,076,622 14,538,311 43,614,934 21,807,467 65,422,402 32,711,201 98,133,604 49,066,802 24,533,401 73,600,204 36,800,102 18,400,051 55,200,154 27,600,077 82,800,232 41,400,116 20,700,058 10,350,029 31,050,088 15,525,044 7,762,522 3,881,261 11,643,784 5,821,892 2,910,946 1,455,473 4,366,420 2,183,210 1,091,605 3,274,816 1,637,408 818,704 409,352 204,676 102,338 51,169

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