λ
Prime Ledger

8,256,998

2 × 509 × 8111
Deficient Even Composite

8,256,998 has the prime decomposition 2 × 509 × 8111. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 509 × 8111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,411,360
Proper Divisor Sum 4,154,362
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8256973 ← → #8257003

Radix Representation

Decimal 8256998
Binary 11111011111110111100110 (23 bits)
Octal 0o37376746
Hexadecimal 0x7DFDE6

Divisor Catalog (8)

1 2 509 1,018 8,111 16,222 4,128,499 8,256,998

Collatz Trajectory (199 steps to reach 1)

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

8,256,998 4,128,499 12,385,498 6,192,749 18,578,248 9,289,124 4,644,562 2,322,281 6,966,844 3,483,422 1,741,711 5,225,134 2,612,567 7,837,702 3,918,851 11,756,554 5,878,277 17,634,832 8,817,416 4,408,708 2,204,354 1,102,177 3,306,532 1,653,266 826,633 2,479,900 1,239,950 619,975 1,859,926 929,963 2,789,890 1,394,945 4,184,836 2,092,418 1,046,209 3,138,628 1,569,314 784,657 2,353,972 1,176,986 588,493 1,765,480 882,740 441,370 220,685 662,056 331,028 165,514 82,757 248,272 124,136 62,068 31,034 15,517 46,552 23,276 11,638 5,819 17,458 8,729

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