5,772,309

3 × 331 × 5813

5,772,309 factors as 3 × 331 × 5813. Its 8 positive divisors give a proper-divisor sum of 1,948,683, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 331 × 5813

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,720,992

Proper Divisor Sum 1,948,683

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5772307 ← → #5772311

Radix Representation

Decimal	5772309
Binary	10110000001010000010101 (23 bits)
Octal	0o26012025
Hexadecimal	0x581415

Divisor Catalog (8)

1 3 331 993 5,813 17,439 1,924,103 5,772,309

Collatz Trajectory (214 steps to reach 1)

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

5,772,309 17,316,928 8,658,464 4,329,232 2,164,616 1,082,308 541,154 270,577 811,732 405,866 202,933 608,800 304,400 152,200 76,100 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625

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