λ
Prime Ledger

6,750,204

22 × 3 × 562517
Abundant Even Composite

6,750,204 has the prime decomposition 2^2 × 3 × 562517. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 562517
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,750,504
Proper Divisor Sum 9,000,300
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6750203 ← → #6750209

Radix Representation

Decimal 6750204
Binary 11001101111111111111100 (23 bits)
Octal 0o31577774
Hexadecimal 0x66FFFC

Divisor Catalog (12)

1 2 3 4 6 12 562,517 1,125,034 1,687,551 2,250,068 3,375,102 6,750,204

Collatz Trajectory (253 steps to reach 1)

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

6,750,204 3,375,102 1,687,551 5,062,654 2,531,327 7,593,982 3,796,991 11,390,974 5,695,487 17,086,462 8,543,231 25,629,694 12,814,847 38,444,542 19,222,271 57,666,814 28,833,407 86,500,222 43,250,111 129,750,334 64,875,167 194,625,502 97,312,751 291,938,254 145,969,127 437,907,382 218,953,691 656,861,074 328,430,537 985,291,612 492,645,806 246,322,903 738,968,710 369,484,355 1,108,453,066 554,226,533 1,662,679,600 831,339,800 415,669,900 207,834,950 103,917,475 311,752,426 155,876,213 467,628,640 233,814,320 116,907,160 58,453,580 29,226,790 14,613,395 43,840,186 21,920,093 65,760,280 32,880,140 16,440,070 8,220,035 24,660,106 12,330,053 36,990,160 18,495,080 9,247,540

More profiles

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