8,231,048

2³ × 7 × 146983

8,231,048 factors as 2^3 × 7 × 146983. Its 16 positive divisors give a proper-divisor sum of 9,407,032, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 146983

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,638,080

Proper Divisor Sum 9,407,032

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8231021 ← → #8231087

Radix Representation

Decimal	8231048
Binary	11111011001100010001000 (23 bits)
Octal	0o37314210
Hexadecimal	0x7D9888

Divisor Catalog (16)

1 2 4 7 8 14 28 56 146,983 293,966 587,932 1,028,881 1,175,864 2,057,762 4,115,524 8,231,048

Collatz Trajectory (199 steps to reach 1)

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

8,231,048 4,115,524 2,057,762 1,028,881 3,086,644 1,543,322 771,661 2,314,984 1,157,492 578,746 289,373 868,120 434,060 217,030 108,515 325,546 162,773 488,320 244,160 122,080 61,040 30,520 15,260 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707

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