8,070,286

2 × 7 × 23 × 71 × 353

Starting at 8,070,286, the Collatz iteration reaches 1 after 137 steps. The first transition is 4035143; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 71 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,681,088

Proper Divisor Sum 6,610,802

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8070241 ← → #8070289

Radix Representation

Decimal	8070286
Binary	11110110010010010001110 (23 bits)
Octal	0o36622216
Hexadecimal	0x7B248E

Divisor Catalog (32)

1 2 7 14 23 46 71 142 161 322 353 497 706 994 1,633 2,471 3,266 4,942 8,119 11,431 16,238 22,862 25,063 50,126 56,833 113,666 175,441 350,882 576,449 1,152,898 4,035,143 8,070,286

Collatz Trajectory (137 steps to reach 1)

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

8,070,286 4,035,143 12,105,430 6,052,715 18,158,146 9,079,073 27,237,220 13,618,610 6,809,305 20,427,916 10,213,958 5,106,979 15,320,938 7,660,469 22,981,408 11,490,704 5,745,352 2,872,676 1,436,338 718,169 2,154,508 1,077,254 538,627 1,615,882 807,941 2,423,824 1,211,912 605,956 302,978 151,489 454,468 227,234 113,617 340,852 170,426 85,213 255,640 127,820 63,910 31,955 95,866 47,933 143,800 71,900 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191

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