λ
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Atlas › Integer Profiles › Node 8,002,148

8,002,148

22 × 7 × 11 × 25981
Abundant Even Composite

8,002,148 factors as 2^2 × 7 × 11 × 25981. Its 24 positive divisors give a proper-divisor sum of 9,457,756, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 25981
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,459,904
Proper Divisor Sum 9,457,756
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8002117 ← → #8002151

Radix Representation

Decimal 8002148
Binary 11110100001101001100100 (23 bits)
Octal 0o36415144
Hexadecimal 0x7A1A64

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 25,981 51,962 103,924 181,867 285,791 363,734 571,582 727,468 1,143,164 2,000,537 4,001,074 8,002,148

Collatz Trajectory (142 steps to reach 1)

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

8,002,148 4,001,074 2,000,537 6,001,612 3,000,806 1,500,403 4,501,210 2,250,605 6,751,816 3,375,908 1,687,954 843,977 2,531,932 1,265,966 632,983 1,898,950 949,475 2,848,426 1,424,213 4,272,640 2,136,320 1,068,160 534,080 267,040 133,520 66,760 33,380 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476

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