6,781,414

2 × 3390707

Starting at 6,781,414, the Collatz iteration reaches 1 after 253 steps. The first transition is 3390707; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3390707

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,172,124

Proper Divisor Sum 3,390,710

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6781409 ← → #6781433

Radix Representation

Decimal	6781414
Binary	11001110111100111100110 (23 bits)
Octal	0o31674746
Hexadecimal	0x6779E6

Divisor Catalog (4)

1 2 3,390,707 6,781,414

Collatz Trajectory (253 steps to reach 1)

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

6,781,414 3,390,707 10,172,122 5,086,061 15,258,184 7,629,092 3,814,546 1,907,273 5,721,820 2,860,910 1,430,455 4,291,366 2,145,683 6,437,050 3,218,525 9,655,576 4,827,788 2,413,894 1,206,947 3,620,842 1,810,421 5,431,264 2,715,632 1,357,816 678,908 339,454 169,727 509,182 254,591 763,774 381,887 1,145,662 572,831 1,718,494 859,247 2,577,742 1,288,871 3,866,614 1,933,307 5,799,922 2,899,961 8,699,884 4,349,942 2,174,971 6,524,914 3,262,457 9,787,372 4,893,686 2,446,843 7,340,530 3,670,265 11,010,796 5,505,398 2,752,699 8,258,098 4,129,049 12,387,148 6,193,574 3,096,787 9,290,362

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