8,008,613

37 × 263 × 823

Starting at 8,008,613, the Collatz iteration reaches 1 after 168 steps. The first transition is 24025840; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 263 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,266,368

Proper Divisor Sum 257,755

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8008607 ← → #8008619

Radix Representation

Decimal	8008613
Binary	11110100011001110100101 (23 bits)
Octal	0o36431645
Hexadecimal	0x7A33A5

Divisor Catalog (8)

1 37 263 823 9,731 30,451 216,449 8,008,613

Collatz Trajectory (168 steps to reach 1)

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

8,008,613 24,025,840 12,012,920 6,006,460 3,003,230 1,501,615 4,504,846 2,252,423 6,757,270 3,378,635 10,135,906 5,067,953 15,203,860 7,601,930 3,800,965 11,402,896 5,701,448 2,850,724 1,425,362 712,681 2,138,044 1,069,022 534,511 1,603,534 801,767 2,405,302 1,202,651 3,607,954 1,803,977 5,411,932 2,705,966 1,352,983 4,058,950 2,029,475 6,088,426 3,044,213 9,132,640 4,566,320 2,283,160 1,141,580 570,790 285,395 856,186 428,093 1,284,280 642,140 321,070 160,535 481,606 240,803 722,410 361,205 1,083,616 541,808 270,904 135,452 67,726 33,863 101,590 50,795

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