4,004,778

2 × 3 × 667463

Starting at 4,004,778, the Collatz iteration reaches 1 after 154 steps. The first transition is 2002389; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 667463

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,009,568

Proper Divisor Sum 4,004,790

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4004773 ← → #4004779

Radix Representation

Decimal	4004778
Binary	1111010001101110101010 (22 bits)
Octal	0o17215652
Hexadecimal	0x3D1BAA

Divisor Catalog (8)

1 2 3 6 667,463 1,334,926 2,002,389 4,004,778

Collatz Trajectory (154 steps to reach 1)

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

4,004,778 2,002,389 6,007,168 3,003,584 1,501,792 750,896 375,448 187,724 93,862 46,931 140,794 70,397 211,192 105,596 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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