8,201,739

3 × 7 × 13² × 2311

8,201,739 factors as 3 × 7 × 13^2 × 2311. Its 24 positive divisors give a proper-divisor sum of 5,337,333, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13^2 × 2311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,539,072

Proper Divisor Sum 5,337,333

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8201729 ← → #8201747

Radix Representation

Decimal	8201739
Binary	11111010010011000001011 (23 bits)
Octal	0o37223013
Hexadecimal	0x7D260B

Divisor Catalog (24)

Collatz Trajectory (106 steps to reach 1)

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

8,201,739 24,605,218 12,302,609 36,907,828 18,453,914 9,226,957 27,680,872 13,840,436 6,920,218 3,460,109 10,380,328 5,190,164 2,595,082 1,297,541 3,892,624 1,946,312 973,156 486,578 243,289 729,868 364,934 182,467 547,402 273,701 821,104 410,552 205,276 102,638 51,319 153,958 76,979 230,938 115,469 346,408 173,204 86,602 43,301 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674

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