8,769,735

3³ × 5 × 13 × 19 × 263

Starting at 8,769,735, the Collatz iteration reaches 1 after 119 steps. The first transition is 26309206; the starting value is odd with 64 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 13 × 19 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,740,800

Proper Divisor Sum 8,971,065

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8769679 ← → #8769737

Radix Representation

Decimal	8769735
Binary	100001011101000011000111 (24 bits)
Octal	0o41350307
Hexadecimal	0x85D0C7

Divisor Catalog (60 of 64)

1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 263 285 351 513 585 741 789 855 1,235 1,315 1,755 2,223 2,367 2,565 3,419 3,705 3,945 4,997 6,669 7,101 10,257 11,115 11,835 14,991 17,095 24,985 30,771 33,345 35,505 44,973 51,285 64,961 74,955 92,313 134,919 153,855 194,883 224,865 324,805 461,565 584,649 674,595

Collatz Trajectory (119 steps to reach 1)

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

8,769,735 26,309,206 13,154,603 39,463,810 19,731,905 59,195,716 29,597,858 14,798,929 44,396,788 22,198,394 11,099,197 33,297,592 16,648,796 8,324,398 4,162,199 12,486,598 6,243,299 18,729,898 9,364,949 28,094,848 14,047,424 7,023,712 3,511,856 1,755,928 877,964 438,982 219,491 658,474 329,237 987,712 493,856 246,928 123,464 61,732 30,866 15,433 46,300 23,150 11,575 34,726 17,363 52,090 26,045 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272

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