8,582,510

2 × 5 × 858251

Starting at 8,582,510, the Collatz iteration reaches 1 after 150 steps. The first transition is 4291255; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 858251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,448,536

Proper Divisor Sum 6,866,026

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8582491 ← → #8582543

Radix Representation

Decimal	8582510
Binary	100000101111010101101110 (24 bits)
Octal	0o40572556
Hexadecimal	0x82F56E

Divisor Catalog (8)

1 2 5 10 858,251 1,716,502 4,291,255 8,582,510

Collatz Trajectory (150 steps to reach 1)

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

8,582,510 4,291,255 12,873,766 6,436,883 19,310,650 9,655,325 28,965,976 14,482,988 7,241,494 3,620,747 10,862,242 5,431,121 16,293,364 8,146,682 4,073,341 12,220,024 6,110,012 3,055,006 1,527,503 4,582,510 2,291,255 6,873,766 3,436,883 10,310,650 5,155,325 15,465,976 7,732,988 3,866,494 1,933,247 5,799,742 2,899,871 8,699,614 4,349,807 13,049,422 6,524,711 19,574,134 9,787,067 29,361,202 14,680,601 44,041,804 22,020,902 11,010,451 33,031,354 16,515,677 49,547,032 24,773,516 12,386,758 6,193,379 18,580,138 9,290,069 27,870,208 13,935,104 6,967,552 3,483,776 1,741,888 870,944 435,472 217,736 108,868 54,434

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