8,278,966

2 × 17 × 41 × 5939

Starting at 8,278,966, the Collatz iteration reaches 1 after 261 steps. The first transition is 4139483; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 41 × 5939

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,471,920

Proper Divisor Sum 5,192,954

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #8278961 ← → #8278969

Radix Representation

Decimal	8278966
Binary	11111100101001110110110 (23 bits)
Octal	0o37451666
Hexadecimal	0x7E53B6

Divisor Catalog (16)

1 2 17 34 41 82 697 1,394 5,939 11,878 100,963 201,926 243,499 486,998 4,139,483 8,278,966

Collatz Trajectory (261 steps to reach 1)

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

8,278,966 4,139,483 12,418,450 6,209,225 18,627,676 9,313,838 4,656,919 13,970,758 6,985,379 20,956,138 10,478,069 31,434,208 15,717,104 7,858,552 3,929,276 1,964,638 982,319 2,946,958 1,473,479 4,420,438 2,210,219 6,630,658 3,315,329 9,945,988 4,972,994 2,486,497 7,459,492 3,729,746 1,864,873 5,594,620 2,797,310 1,398,655 4,195,966 2,097,983 6,293,950 3,146,975 9,440,926 4,720,463 14,161,390 7,080,695 21,242,086 10,621,043 31,863,130 15,931,565 47,794,696 23,897,348 11,948,674 5,974,337 17,923,012 8,961,506 4,480,753 13,442,260 6,721,130 3,360,565 10,081,696 5,040,848 2,520,424 1,260,212 630,106 315,053

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