8,197,529

167 × 191 × 257

Starting at 8,197,529, the Collatz iteration reaches 1 after 230 steps. The first transition is 24592588; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 167 × 191 × 257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,322,048

Proper Divisor Sum 124,519

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8197507 ← → #8197537

Radix Representation

Decimal	8197529
Binary	11111010001010110011001 (23 bits)
Octal	0o37212631
Hexadecimal	0x7D1599

Divisor Catalog (8)

1 167 191 257 31,897 42,919 49,087 8,197,529

Collatz Trajectory (230 steps to reach 1)

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

8,197,529 24,592,588 12,296,294 6,148,147 18,444,442 9,222,221 27,666,664 13,833,332 6,916,666 3,458,333 10,375,000 5,187,500 2,593,750 1,296,875 3,890,626 1,945,313 5,835,940 2,917,970 1,458,985 4,376,956 2,188,478 1,094,239 3,282,718 1,641,359 4,924,078 2,462,039 7,386,118 3,693,059 11,079,178 5,539,589 16,618,768 8,309,384 4,154,692 2,077,346 1,038,673 3,116,020 1,558,010 779,005 2,337,016 1,168,508 584,254 292,127 876,382 438,191 1,314,574 657,287 1,971,862 985,931 2,957,794 1,478,897 4,436,692 2,218,346 1,109,173 3,327,520 1,663,760 831,880 415,940 207,970 103,985 311,956

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