8,582,642

2 × 19 × 225859

Starting at 8,582,642, the Collatz iteration reaches 1 after 124 steps. The first transition is 4291321; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 225859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,551,600

Proper Divisor Sum 4,968,958

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8582641 ← → #8582659

Radix Representation

Decimal	8582642
Binary	100000101111010111110010 (24 bits)
Octal	0o40572762
Hexadecimal	0x82F5F2

Divisor Catalog (8)

1 2 19 38 225,859 451,718 4,291,321 8,582,642

Collatz Trajectory (124 steps to reach 1)

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

8,582,642 4,291,321 12,873,964 6,436,982 3,218,491 9,655,474 4,827,737 14,483,212 7,241,606 3,620,803 10,862,410 5,431,205 16,293,616 8,146,808 4,073,404 2,036,702 1,018,351 3,055,054 1,527,527 4,582,582 2,291,291 6,873,874 3,436,937 10,310,812 5,155,406 2,577,703 7,733,110 3,866,555 11,599,666 5,799,833 17,399,500 8,699,750 4,349,875 13,049,626 6,524,813 19,574,440 9,787,220 4,893,610 2,446,805 7,340,416 3,670,208 1,835,104 917,552 458,776 229,388 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073

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