λ
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Atlas › Integer Profiles › Node 3,069,352

3,069,352

23 × 11 × 13 × 2683
Abundant Even Composite

3,069,352 factors as 2^3 × 11 × 13 × 2683. Its 32 positive divisors give a proper-divisor sum of 3,694,328, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 2683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,763,680
Proper Divisor Sum 3,694,328
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3069347 ← → #3069359

Radix Representation

Decimal 3069352
Binary 1011101101010110101000 (22 bits)
Octal 0o13552650
Hexadecimal 0x2ED5A8

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 2,683 5,366 10,732 21,464 29,513 34,879 59,026 69,758 118,052 139,516 236,104 279,032 383,669 767,338 1,534,676 3,069,352

Collatz Trajectory (226 steps to reach 1)

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

3,069,352 1,534,676 767,338 383,669 1,151,008 575,504 287,752 143,876 71,938 35,969 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474

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