576,964

2² × 144241

Starting at 576,964, the Collatz iteration reaches 1 after 97 steps. The first transition is 288482; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 144241

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,009,694

Proper Divisor Sum 432,730

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #576949 ← → #576967

Radix Representation

Decimal	576964
Binary	10001100110111000100 (20 bits)
Octal	0o2146704
Hexadecimal	0x8CDC4

Divisor Catalog (6)

1 2 4 144,241 288,482 576,964

Collatz Trajectory (97 steps to reach 1)

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

576,964 288,482 144,241 432,724 216,362 108,181 324,544 162,272 81,136 40,568 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611

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