8,301,149

31 × 331 × 809

8,301,149 factors as 31 × 331 × 809. Its 8 positive divisors give a proper-divisor sum of 304,291, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 31 × 331 × 809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,605,440

Proper Divisor Sum 304,291

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8301143 ← → #8301169

Radix Representation

Decimal	8301149
Binary	11111101010101001011101 (23 bits)
Octal	0o37525135
Hexadecimal	0x7EAA5D

Divisor Catalog (8)

1 31 331 809 10,261 25,079 267,779 8,301,149

Collatz Trajectory (199 steps to reach 1)

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

8,301,149 24,903,448 12,451,724 6,225,862 3,112,931 9,338,794 4,669,397 14,008,192 7,004,096 3,502,048 1,751,024 875,512 437,756 218,878 109,439 328,318 164,159 492,478 246,239 738,718 369,359 1,108,078 554,039 1,662,118 831,059 2,493,178 1,246,589 3,739,768 1,869,884 934,942 467,471 1,402,414 701,207 2,103,622 1,051,811 3,155,434 1,577,717 4,733,152 2,366,576 1,183,288 591,644 295,822 147,911 443,734 221,867 665,602 332,801 998,404 499,202 249,601 748,804 374,402 187,201 561,604 280,802 140,401 421,204 210,602 105,301 315,904

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