8,151,455

5 × 13 × 125407

Starting at 8,151,455, the Collatz iteration reaches 1 after 137 steps. The first transition is 24454366; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 125407

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,534,272

Proper Divisor Sum 2,382,817

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8151431 ← → #8151463

Radix Representation

Decimal	8151455
Binary	11111000110000110011111 (23 bits)
Octal	0o37060637
Hexadecimal	0x7C619F

Divisor Catalog (8)

1 5 13 65 125,407 627,035 1,630,291 8,151,455

Collatz Trajectory (137 steps to reach 1)

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

8,151,455 24,454,366 12,227,183 36,681,550 18,340,775 55,022,326 27,511,163 82,533,490 41,266,745 123,800,236 61,900,118 30,950,059 92,850,178 46,425,089 139,275,268 69,637,634 34,818,817 104,456,452 52,228,226 26,114,113 78,342,340 39,171,170 19,585,585 58,756,756 29,378,378 14,689,189 44,067,568 22,033,784 11,016,892 5,508,446 2,754,223 8,262,670 4,131,335 12,394,006 6,197,003 18,591,010 9,295,505 27,886,516 13,943,258 6,971,629 20,914,888 10,457,444 5,228,722 2,614,361 7,843,084 3,921,542 1,960,771 5,882,314 2,941,157 8,823,472 4,411,736 2,205,868 1,102,934 551,467 1,654,402 827,201 2,481,604 1,240,802 620,401 1,861,204

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