2,398,512

2⁴ × 3 × 107 × 467

2,398,512 has the prime decomposition 2^4 × 3 × 107 × 467. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 107 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,267,456

Proper Divisor Sum 3,868,944

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2398507 ← → #2398523

Radix Representation

Decimal	2398512
Binary	1001001001100100110000 (22 bits)
Octal	0o11114460
Hexadecimal	0x249930

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 107 214 321 428 467 642 856 934 1,284 1,401 1,712 1,868 2,568 2,802 3,736 5,136 5,604 7,472 11,208 22,416 49,969 99,938 149,907 199,876 299,814 399,752 599,628 799,504 1,199,256 2,398,512

Collatz Trajectory (205 steps to reach 1)

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

2,398,512 1,199,256 599,628 299,814 149,907 449,722 224,861 674,584 337,292 168,646 84,323 252,970 126,485 379,456 189,728 94,864 47,432 23,716 11,858 5,929 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

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