λ
Modular Archive

3,418,180

22 × 5 × 277 × 617
Abundant Even Composite

The decimal integer 3,418,180 is 1101000010100001000100 in binary (22 bits), 15024104 in octal and 342844 in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 2^2 × 5 × 277 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,215,768
Proper Divisor Sum 3,797,588
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3418159 ← → #3418193

Radix Representation

Decimal 3418180
Binary 1101000010100001000100 (22 bits)
Octal 0o15024104
Hexadecimal 0x342844

Divisor Catalog (24)

1 2 4 5 10 20 277 554 617 1,108 1,234 1,385 2,468 2,770 3,085 5,540 6,170 12,340 170,909 341,818 683,636 854,545 1,709,090 3,418,180

Collatz Trajectory (76 steps to reach 1)

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

3,418,180 1,709,090 854,545 2,563,636 1,281,818 640,909 1,922,728 961,364 480,682 240,341 721,024 360,512 180,256 90,128 45,064 22,532 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604

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