8,000,263

31 × 421 × 613

8,000,263 factors as 31 × 421 × 613. Its 8 positive divisors give a proper-divisor sum of 291,193, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 31 × 421 × 613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,291,456

Proper Divisor Sum 291,193

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8000261 ← → #8000309

Radix Representation

Decimal	8000263
Binary	11110100001001100000111 (23 bits)
Octal	0o36411407
Hexadecimal	0x7A1307

Divisor Catalog (8)

1 31 421 613 13,051 19,003 258,073 8,000,263

Collatz Trajectory (261 steps to reach 1)

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

8,000,263 24,000,790 12,000,395 36,001,186 18,000,593 54,001,780 27,000,890 13,500,445 40,501,336 20,250,668 10,125,334 5,062,667 15,188,002 7,594,001 22,782,004 11,391,002 5,695,501 17,086,504 8,543,252 4,271,626 2,135,813 6,407,440 3,203,720 1,601,860 800,930 400,465 1,201,396 600,698 300,349 901,048 450,524 225,262 112,631 337,894 168,947 506,842 253,421 760,264 380,132 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486 50,743

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