3,823,488

2⁷ × 3² × 3319

3,823,488 is even and not a perfect square. Its factorization is 2^7 × 3^2 × 3319 and its 48 divisors sum to 11,005,800.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 3319

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,005,800

Proper Divisor Sum 7,182,312

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3823459 ← → #3823511

Radix Representation

Decimal	3823488
Binary	1110100101011110000000 (22 bits)
Octal	0o16453600
Hexadecimal	0x3A5780

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1,152 3,319 6,638 9,957 13,276 19,914 26,552 29,871 39,828 53,104 59,742 79,656 106,208 119,484 159,312 212,416 238,968 318,624 424,832 477,936 637,248 955,872 1,274,496 1,911,744 3,823,488

Collatz Trajectory (172 steps to reach 1)

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

3,823,488 1,911,744 955,872 477,936 238,968 119,484 59,742 29,871 89,614 44,807 134,422 67,211 201,634 100,817 302,452 151,226 75,613 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048

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