6,988,870

2 × 5 × 7² × 17 × 839

Starting at 6,988,870, the Collatz iteration reaches 1 after 147 steps. The first transition is 3494435; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 17 × 839

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,513,120

Proper Divisor Sum 8,524,250

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #6988847 ← → #6988871

Radix Representation

Decimal	6988870
Binary	11010101010010001000110 (23 bits)
Octal	0o32522106
Hexadecimal	0x6AA446

Divisor Catalog (48)

1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 839 1,190 1,666 1,678 4,165 4,195 5,873 8,330 8,390 11,746 14,263 28,526 29,365 41,111 58,730 71,315 82,222 99,841 142,630 199,682 205,555 411,110 499,205 698,887 998,410 1,397,774 3,494,435 6,988,870

Collatz Trajectory (147 steps to reach 1)

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

6,988,870 3,494,435 10,483,306 5,241,653 15,724,960 7,862,480 3,931,240 1,965,620 982,810 491,405 1,474,216 737,108 368,554 184,277 552,832 276,416 138,208 69,104 34,552 17,276 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206

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