8,013,258

2 × 3² × 11 × 40471

8,013,258 has digital root 9. The neighboring primes are 8013233 and 8013259; its proper-divisor sum differs from the starting integer by 2,914,380.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 40471

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,940,896

Proper Divisor Sum 10,927,638

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8013233 ← → #8013259

Radix Representation

Decimal	8013258
Binary	11110100100010111001010 (23 bits)
Octal	0o36442712
Hexadecimal	0x7A45CA

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 40,471 80,942 121,413 242,826 364,239 445,181 728,478 890,362 1,335,543 2,671,086 4,006,629 8,013,258

Collatz Trajectory (93 steps to reach 1)

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

8,013,258 4,006,629 12,019,888 6,009,944 3,004,972 1,502,486 751,243 2,253,730 1,126,865 3,380,596 1,690,298 845,149 2,535,448 1,267,724 633,862 316,931 950,794 475,397 1,426,192 713,096 356,548 178,274 89,137 267,412 133,706 66,853 200,560 100,280 50,140 25,070 12,535 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848

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