2,002,964

2² × 500741

Starting at 2,002,964, the Collatz iteration reaches 1 after 91 steps. The first transition is 1001482; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 500741

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,505,194

Proper Divisor Sum 1,502,230

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2002939 ← → #2002967

Radix Representation

Decimal	2002964
Binary	111101001000000010100 (21 bits)
Octal	0o7510024
Hexadecimal	0x1E9014

Divisor Catalog (6)

1 2 4 500,741 1,001,482 2,002,964

Collatz Trajectory (91 steps to reach 1)

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

2,002,964 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59

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