6,988,491

3³ × 41 × 59 × 107

Starting at 6,988,491, the Collatz iteration reaches 1 after 178 steps. The first transition is 20965474; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 41 × 59 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,886,400

Proper Divisor Sum 3,897,909

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6988483 ← → #6988511

Radix Representation

Decimal	6988491
Binary	11010101010001011001011 (23 bits)
Octal	0o32521313
Hexadecimal	0x6AA2CB

Divisor Catalog (32)

1 3 9 27 41 59 107 123 177 321 369 531 963 1,107 1,593 2,419 2,889 4,387 6,313 7,257 13,161 18,939 21,771 39,483 56,817 65,313 118,449 170,451 258,833 776,499 2,329,497 6,988,491

Collatz Trajectory (178 steps to reach 1)

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

6,988,491 20,965,474 10,482,737 31,448,212 15,724,106 7,862,053 23,586,160 11,793,080 5,896,540 2,948,270 1,474,135 4,422,406 2,211,203 6,633,610 3,316,805 9,950,416 4,975,208 2,487,604 1,243,802 621,901 1,865,704 932,852 466,426 233,213 699,640 349,820 174,910 87,455 262,366 131,183 393,550 196,775 590,326 295,163 885,490 442,745 1,328,236 664,118 332,059 996,178 498,089 1,494,268 747,134 373,567 1,120,702 560,351 1,681,054 840,527 2,521,582 1,260,791 3,782,374 1,891,187 5,673,562 2,836,781 8,510,344 4,255,172 2,127,586 1,063,793 3,191,380 1,595,690

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