8,329,788

2² × 3² × 43 × 5381

Starting at 8,329,788, the Collatz iteration reaches 1 after 160 steps. The first transition is 4164894; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43 × 5381

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,549,528

Proper Divisor Sum 13,219,740

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8329759 ← → #8329819

Radix Representation

Decimal	8329788
Binary	11111110001101000111100 (23 bits)
Octal	0o37615074
Hexadecimal	0x7F1A3C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1,548 5,381 10,762 16,143 21,524 32,286 48,429 64,572 96,858 193,716 231,383 462,766 694,149 925,532 1,388,298 2,082,447 2,776,596 4,164,894 8,329,788

Collatz Trajectory (160 steps to reach 1)

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

8,329,788 4,164,894 2,082,447 6,247,342 3,123,671 9,371,014 4,685,507 14,056,522 7,028,261 21,084,784 10,542,392 5,271,196 2,635,598 1,317,799 3,953,398 1,976,699 5,930,098 2,965,049 8,895,148 4,447,574 2,223,787 6,671,362 3,335,681 10,007,044 5,003,522 2,501,761 7,505,284 3,752,642 1,876,321 5,628,964 2,814,482 1,407,241 4,221,724 2,110,862 1,055,431 3,166,294 1,583,147 4,749,442 2,374,721 7,124,164 3,562,082 1,781,041 5,343,124 2,671,562 1,335,781 4,007,344 2,003,672 1,001,836 500,918 250,459 751,378 375,689 1,127,068 563,534 281,767 845,302 422,651 1,267,954 633,977 1,901,932

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