λ
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6,407,778

2 × 3 × 13 × 113 × 727
Abundant Even Composite

6,407,778 factors as 2 × 3 × 13 × 113 × 727. Its 32 positive divisors give a proper-divisor sum of 7,534,878, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 113 × 727
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,942,656
Proper Divisor Sum 7,534,878
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6407773 ← → #6407809

Radix Representation

Decimal 6407778
Binary 11000011100011001100010 (23 bits)
Octal 0o30343142
Hexadecimal 0x61C662

Divisor Catalog (32)

1 2 3 6 13 26 39 78 113 226 339 678 727 1,454 1,469 2,181 2,938 4,362 4,407 8,814 9,451 18,902 28,353 56,706 82,151 164,302 246,453 492,906 1,067,963 2,135,926 3,203,889 6,407,778

Collatz Trajectory (95 steps to reach 1)

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

6,407,778 3,203,889 9,611,668 4,805,834 2,402,917 7,208,752 3,604,376 1,802,188 901,094 450,547 1,351,642 675,821 2,027,464 1,013,732 506,866 253,433 760,300 380,150 190,075 570,226 285,113 855,340 427,670 213,835 641,506 320,753 962,260 481,130 240,565 721,696 360,848 180,424 90,212 45,106 22,553 67,660 33,830 16,915 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776

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