8,507,112

2³ × 3 × 354463

Starting at 8,507,112, the Collatz iteration reaches 1 after 199 steps. The first transition is 4253556; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 354463

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,267,840

Proper Divisor Sum 12,760,728

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8507101 ← → #8507137

Radix Representation

Decimal	8507112
Binary	100000011100111011101000 (24 bits)
Octal	0o40347350
Hexadecimal	0x81CEE8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 354,463 708,926 1,063,389 1,417,852 2,126,778 2,835,704 4,253,556 8,507,112

Collatz Trajectory (199 steps to reach 1)

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

8,507,112 4,253,556 2,126,778 1,063,389 3,190,168 1,595,084 797,542 398,771 1,196,314 598,157 1,794,472 897,236 448,618 224,309 672,928 336,464 168,232 84,116 42,058 21,029 63,088 31,544 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975

← Previous Integer #8,507,111 Browse Full Index Next Integer #8,507,113 →