8,001,963

3³ × 296369

8,001,963 factors as 3^3 × 296369. Its 8 positive divisors give a proper-divisor sum of 3,852,837, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^3 × 296369

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,854,800

Proper Divisor Sum 3,852,837

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8001949 ← → #8001971

Radix Representation

Decimal	8001963
Binary	11110100001100110101011 (23 bits)
Octal	0o36414653
Hexadecimal	0x7A19AB

Divisor Catalog (8)

1 3 9 27 296,369 889,107 2,667,321 8,001,963

Collatz Trajectory (142 steps to reach 1)

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

8,001,963 24,005,890 12,002,945 36,008,836 18,004,418 9,002,209 27,006,628 13,503,314 6,751,657 20,254,972 10,127,486 5,063,743 15,191,230 7,595,615 22,786,846 11,393,423 34,180,270 17,090,135 51,270,406 25,635,203 76,905,610 38,452,805 115,358,416 57,679,208 28,839,604 14,419,802 7,209,901 21,629,704 10,814,852 5,407,426 2,703,713 8,111,140 4,055,570 2,027,785 6,083,356 3,041,678 1,520,839 4,562,518 2,281,259 6,843,778 3,421,889 10,265,668 5,132,834 2,566,417 7,699,252 3,849,626 1,924,813 5,774,440 2,887,220 1,443,610 721,805 2,165,416 1,082,708 541,354 270,677 812,032 406,016 203,008 101,504 50,752

← Previous Integer #8,001,962 Browse Full Index Next Integer #8,001,964 →