8,201,731

23 × 191 × 1867

8,201,731 factors as 23 × 191 × 1867. Its 8 positive divisors give a proper-divisor sum of 406,013, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 23 × 191 × 1867

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,607,744

Proper Divisor Sum 406,013

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8201729 ← → #8201747

Radix Representation

Decimal	8201731
Binary	11111010010011000000011 (23 bits)
Octal	0o37223003
Hexadecimal	0x7D2603

Divisor Catalog (8)

1 23 191 1,867 4,393 42,941 356,597 8,201,731

Collatz Trajectory (106 steps to reach 1)

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

8,201,731 24,605,194 12,302,597 36,907,792 18,453,896 9,226,948 4,613,474 2,306,737 6,920,212 3,460,106 1,730,053 5,190,160 2,595,080 1,297,540 648,770 324,385 973,156 486,578 243,289 729,868 364,934 182,467 547,402 273,701 821,104 410,552 205,276 102,638 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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