896,008

2³ × 47 × 2383

Starting at 896,008, the Collatz iteration reaches 1 after 95 steps. The first transition is 448004; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 47 × 2383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,716,480

Proper Divisor Sum 820,472

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #896003 ← → #896009

Radix Representation

Decimal	896008
Binary	11011010110000001000 (20 bits)
Octal	0o3326010
Hexadecimal	0xDAC08

Divisor Catalog (16)

1 2 4 8 47 94 188 376 2,383 4,766 9,532 19,064 112,001 224,002 448,004 896,008

Collatz Trajectory (95 steps to reach 1)

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

896,008 448,004 224,002 112,001 336,004 168,002 84,001 252,004 126,002 63,001 189,004 94,502 47,251 141,754 70,877 212,632 106,316 53,158 26,579 79,738 39,869 119,608 59,804 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684

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