8,001,813

3 × 31 × 139 × 619

8,001,813 factors as 3 × 31 × 139 × 619. Its 16 positive divisors give a proper-divisor sum of 3,108,587, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 31 × 139 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,110,400

Proper Divisor Sum 3,108,587

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8001811 ← → #8001823

Radix Representation

Decimal	8001813
Binary	11110100001100100010101 (23 bits)
Octal	0o36414425
Hexadecimal	0x7A1915

Divisor Catalog (16)

1 3 31 93 139 417 619 1,857 4,309 12,927 19,189 57,567 86,041 258,123 2,667,271 8,001,813

Collatz Trajectory (142 steps to reach 1)

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

8,001,813 24,005,440 12,002,720 6,001,360 3,000,680 1,500,340 750,170 375,085 1,125,256 562,628 281,314 140,657 421,972 210,986 105,493 316,480 158,240 79,120 39,560 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

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