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Atlas › Integer Profiles › Node 8,092,024

8,092,024

23 × 19 × 139 × 383
Deficient Even Composite

8,092,024 factors as 2^3 × 19 × 139 × 383. Its 32 positive divisors give a proper-divisor sum of 8,035,976, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 139 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,128,000
Proper Divisor Sum 8,035,976
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8092009 ← → #8092033

Radix Representation

Decimal 8092024
Binary 11110110111100101111000 (23 bits)
Octal 0o36674570
Hexadecimal 0x7B7978

Divisor Catalog (32)

1 2 4 8 19 38 76 139 152 278 383 556 766 1,112 1,532 2,641 3,064 5,282 7,277 10,564 14,554 21,128 29,108 53,237 58,216 106,474 212,948 425,896 1,011,503 2,023,006 4,046,012 8,092,024

Collatz Trajectory (186 steps to reach 1)

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

8,092,024 4,046,012 2,023,006 1,011,503 3,034,510 1,517,255 4,551,766 2,275,883 6,827,650 3,413,825 10,241,476 5,120,738 2,560,369 7,681,108 3,840,554 1,920,277 5,760,832 2,880,416 1,440,208 720,104 360,052 180,026 90,013 270,040 135,020 67,510 33,755 101,266 50,633 151,900 75,950 37,975 113,926 56,963 170,890 85,445 256,336 128,168 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

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