λ
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6,434,980

22 × 5 × 31 × 97 × 107
Abundant Even Composite

6,434,980 factors as 2^2 × 5 × 31 × 97 × 107. Its 48 positive divisors give a proper-divisor sum of 7,789,916, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 97 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,224,896
Proper Divisor Sum 7,789,916
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6434969 ← → #6434983

Radix Representation

Decimal 6434980
Binary 11000100011000010100100 (23 bits)
Octal 0o30430244
Hexadecimal 0x6230A4

Divisor Catalog (48)

1 2 4 5 10 20 31 62 97 107 124 155 194 214 310 388 428 485 535 620 970 1,070 1,940 2,140 3,007 3,317 6,014 6,634 10,379 12,028 13,268 15,035 16,585 20,758 30,070 33,170 41,516 51,895 60,140 66,340 103,790 207,580 321,749 643,498 1,286,996 1,608,745 3,217,490 6,434,980

Collatz Trajectory (240 steps to reach 1)

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

6,434,980 3,217,490 1,608,745 4,826,236 2,413,118 1,206,559 3,619,678 1,809,839 5,429,518 2,714,759 8,144,278 4,072,139 12,216,418 6,108,209 18,324,628 9,162,314 4,581,157 13,743,472 6,871,736 3,435,868 1,717,934 858,967 2,576,902 1,288,451 3,865,354 1,932,677 5,798,032 2,899,016 1,449,508 724,754 362,377 1,087,132 543,566 271,783 815,350 407,675 1,223,026 611,513 1,834,540 917,270 458,635 1,375,906 687,953 2,063,860 1,031,930 515,965 1,547,896 773,948 386,974 193,487 580,462 290,231 870,694 435,347 1,306,042 653,021 1,959,064 979,532 489,766 244,883

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