8,646,567

3 × 37 × 61 × 1277

Starting at 8,646,567, the Collatz iteration reaches 1 after 230 steps. The first transition is 25939702; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 61 × 1277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,043,872

Proper Divisor Sum 3,397,305

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8646559 ← → #8646571

Radix Representation

Decimal	8646567
Binary	100000111110111110100111 (24 bits)
Octal	0o40767647
Hexadecimal	0x83EFA7

Divisor Catalog (16)

1 3 37 61 111 183 1,277 2,257 3,831 6,771 47,249 77,897 141,747 233,691 2,882,189 8,646,567

Collatz Trajectory (230 steps to reach 1)

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

8,646,567 25,939,702 12,969,851 38,909,554 19,454,777 58,364,332 29,182,166 14,591,083 43,773,250 21,886,625 65,659,876 32,829,938 16,414,969 49,244,908 24,622,454 12,311,227 36,933,682 18,466,841 55,400,524 27,700,262 13,850,131 41,550,394 20,775,197 62,325,592 31,162,796 15,581,398 7,790,699 23,372,098 11,686,049 35,058,148 17,529,074 8,764,537 26,293,612 13,146,806 6,573,403 19,720,210 9,860,105 29,580,316 14,790,158 7,395,079 22,185,238 11,092,619 33,277,858 16,638,929 49,916,788 24,958,394 12,479,197 37,437,592 18,718,796 9,359,398 4,679,699 14,039,098 7,019,549 21,058,648 10,529,324 5,264,662 2,632,331 7,896,994 3,948,497 11,845,492

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