λ
Prime Ledger

8,715,996

22 × 32 × 83 × 2917
Abundant Even Composite

8,715,996 has the prime decomposition 2^2 × 3^2 × 83 × 2917. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 83 × 2917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,305,192
Proper Divisor Sum 13,589,196
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8715989 ← → #8716007

Radix Representation

Decimal 8715996
Binary 100001001111111011011100 (24 bits)
Octal 0o41177334
Hexadecimal 0x84FEDC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1,494 2,917 2,988 5,834 8,751 11,668 17,502 26,253 35,004 52,506 105,012 242,111 484,222 726,333 968,444 1,452,666 2,178,999 2,905,332 4,357,998 8,715,996

Collatz Trajectory (243 steps to reach 1)

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

8,715,996 4,357,998 2,178,999 6,536,998 3,268,499 9,805,498 4,902,749 14,708,248 7,354,124 3,677,062 1,838,531 5,515,594 2,757,797 8,273,392 4,136,696 2,068,348 1,034,174 517,087 1,551,262 775,631 2,326,894 1,163,447 3,490,342 1,745,171 5,235,514 2,617,757 7,853,272 3,926,636 1,963,318 981,659 2,944,978 1,472,489 4,417,468 2,208,734 1,104,367 3,313,102 1,656,551 4,969,654 2,484,827 7,454,482 3,727,241 11,181,724 5,590,862 2,795,431 8,386,294 4,193,147 12,579,442 6,289,721 18,869,164 9,434,582 4,717,291 14,151,874 7,075,937 21,227,812 10,613,906 5,306,953 15,920,860 7,960,430 3,980,215 11,940,646

More profiles

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