7,166,395

5 × 53 × 27043

Starting at 7,166,395, the Collatz iteration reaches 1 after 266 steps. The first transition is 21499186; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 53 × 27043

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,762,256

Proper Divisor Sum 1,595,861

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7166389 ← → #7166407

Radix Representation

Decimal	7166395
Binary	11011010101100110111011 (23 bits)
Octal	0o33254673
Hexadecimal	0x6D59BB

Divisor Catalog (8)

1 5 53 265 27,043 135,215 1,433,279 7,166,395

Collatz Trajectory (266 steps to reach 1)

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

7,166,395 21,499,186 10,749,593 32,248,780 16,124,390 8,062,195 24,186,586 12,093,293 36,279,880 18,139,940 9,069,970 4,534,985 13,604,956 6,802,478 3,401,239 10,203,718 5,101,859 15,305,578 7,652,789 22,958,368 11,479,184 5,739,592 2,869,796 1,434,898 717,449 2,152,348 1,076,174 538,087 1,614,262 807,131 2,421,394 1,210,697 3,632,092 1,816,046 908,023 2,724,070 1,362,035 4,086,106 2,043,053 6,129,160 3,064,580 1,532,290 766,145 2,298,436 1,149,218 574,609 1,723,828 861,914 430,957 1,292,872 646,436 323,218 161,609 484,828 242,414 121,207 363,622 181,811 545,434 272,717

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