λ
Prime Ledger

6,787,472

24 × 283 × 1499
Deficient Even Composite

6,787,472 has the prime decomposition 2^4 × 283 × 1499. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 283 × 1499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,206,000
Proper Divisor Sum 6,418,528
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6787457 ← → #6787489

Radix Representation

Decimal 6787472
Binary 11001111001000110010000 (23 bits)
Octal 0o31710620
Hexadecimal 0x679190

Divisor Catalog (20)

1 2 4 8 16 283 566 1,132 1,499 2,264 2,998 4,528 5,996 11,992 23,984 424,217 848,434 1,696,868 3,393,736 6,787,472

Collatz Trajectory (284 steps to reach 1)

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

6,787,472 3,393,736 1,696,868 848,434 424,217 1,272,652 636,326 318,163 954,490 477,245 1,431,736 715,868 357,934 178,967 536,902 268,451 805,354 402,677 1,208,032 604,016 302,008 151,004 75,502 37,751 113,254 56,627 169,882 84,941 254,824 127,412 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340

More profiles

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