8,013,274

2 × 4006637

8,013,274 has digital root 7. The neighboring primes are 8013263 and 8013281; its proper-divisor sum differs from the starting integer by -4,006,634.

Prime Factor Structure

Factorization String 2 × 4006637

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 12,019,914

Proper Divisor Sum 4,006,640

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8013263 ← → #8013281

Radix Representation

Decimal	8013274
Binary	11110100100010111011010 (23 bits)
Octal	0o36442732
Hexadecimal	0x7A45DA

Divisor Catalog (4)

1 2 4,006,637 8,013,274

Collatz Trajectory (142 steps to reach 1)

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

8,013,274 4,006,637 12,019,912 6,009,956 3,004,978 1,502,489 4,507,468 2,253,734 1,126,867 3,380,602 1,690,301 5,070,904 2,535,452 1,267,726 633,863 1,901,590 950,795 2,852,386 1,426,193 4,278,580 2,139,290 1,069,645 3,208,936 1,604,468 802,234 401,117 1,203,352 601,676 300,838 150,419 451,258 225,629 676,888 338,444 169,222 84,611 253,834 126,917 380,752 190,376 95,188 47,594 23,797 71,392 35,696 17,848 8,924 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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