7,688,674

2 × 7 × 37 × 14843

Starting at 7,688,674, the Collatz iteration reaches 1 after 209 steps. The first transition is 3844337; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 14843

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,537,728

Proper Divisor Sum 5,849,054

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7688671 ← → #7688677

Radix Representation

Decimal	7688674
Binary	11101010101000111100010 (23 bits)
Octal	0o35250742
Hexadecimal	0x7551E2

Divisor Catalog (16)

1 2 7 14 37 74 259 518 14,843 29,686 103,901 207,802 549,191 1,098,382 3,844,337 7,688,674

Collatz Trajectory (209 steps to reach 1)

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

7,688,674 3,844,337 11,533,012 5,766,506 2,883,253 8,649,760 4,324,880 2,162,440 1,081,220 540,610 270,305 810,916 405,458 202,729 608,188 304,094 152,047 456,142 228,071 684,214 342,107 1,026,322 513,161 1,539,484 769,742 384,871 1,154,614 577,307 1,731,922 865,961 2,597,884 1,298,942 649,471 1,948,414 974,207 2,922,622 1,461,311 4,383,934 2,191,967 6,575,902 3,287,951 9,863,854 4,931,927 14,795,782 7,397,891 22,193,674 11,096,837 33,290,512 16,645,256 8,322,628 4,161,314 2,080,657 6,241,972 3,120,986 1,560,493 4,681,480 2,340,740 1,170,370 585,185 1,755,556

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