7,657,471

89 × 97 × 887

Starting at 7,657,471, the Collatz iteration reaches 1 after 186 steps. The first transition is 22972414; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 89 × 97 × 887

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,832,160

Proper Divisor Sum 174,689

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7657427 ← → #7657511

Radix Representation

Decimal	7657471
Binary	11101001101011111111111 (23 bits)
Octal	0o35153777
Hexadecimal	0x74D7FF

Divisor Catalog (8)

1 89 97 887 8,633 78,943 86,039 7,657,471

Collatz Trajectory (186 steps to reach 1)

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

7,657,471 22,972,414 11,486,207 34,458,622 17,229,311 51,687,934 25,843,967 77,531,902 38,765,951 116,297,854 58,148,927 174,446,782 87,223,391 261,670,174 130,835,087 392,505,262 196,252,631 588,757,894 294,378,947 883,136,842 441,568,421 1,324,705,264 662,352,632 331,176,316 165,588,158 82,794,079 248,382,238 124,191,119 372,573,358 186,286,679 558,860,038 279,430,019 838,290,058 419,145,029 1,257,435,088 628,717,544 314,358,772 157,179,386 78,589,693 235,769,080 117,884,540 58,942,270 29,471,135 88,413,406 44,206,703 132,620,110 66,310,055 198,930,166 99,465,083 298,395,250 149,197,625 447,592,876 223,796,438 111,898,219 335,694,658 167,847,329 503,541,988 251,770,994 125,885,497 377,656,492

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