8,634,625

5³ × 67 × 1031

Starting at 8,634,625, the Collatz iteration reaches 1 after 274 steps. The first transition is 25903876; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 67 × 1031

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,947,456

Proper Divisor Sum 2,312,831

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8634617 ← → #8634629

Radix Representation

Decimal	8634625
Binary	100000111100000100000001 (24 bits)
Octal	0o40740401
Hexadecimal	0x83C101

Divisor Catalog (16)

1 5 25 67 125 335 1,031 1,675 5,155 8,375 25,775 69,077 128,875 345,385 1,726,925 8,634,625

Collatz Trajectory (274 steps to reach 1)

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

8,634,625 25,903,876 12,951,938 6,475,969 19,427,908 9,713,954 4,856,977 14,570,932 7,285,466 3,642,733 10,928,200 5,464,100 2,732,050 1,366,025 4,098,076 2,049,038 1,024,519 3,073,558 1,536,779 4,610,338 2,305,169 6,915,508 3,457,754 1,728,877 5,186,632 2,593,316 1,296,658 648,329 1,944,988 972,494 486,247 1,458,742 729,371 2,188,114 1,094,057 3,282,172 1,641,086 820,543 2,461,630 1,230,815 3,692,446 1,846,223 5,538,670 2,769,335 8,308,006 4,154,003 12,462,010 6,231,005 18,693,016 9,346,508 4,673,254 2,336,627 7,009,882 3,504,941 10,514,824 5,257,412 2,628,706 1,314,353 3,943,060 1,971,530

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