3,836,780

2² × 5 × 41 × 4679

3,836,780 is even and not a perfect square. Its factorization is 2^2 × 5 × 41 × 4679 and its 24 divisors sum to 8,255,520.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 4679

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,255,520

Proper Divisor Sum 4,418,740

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3836771 ← → #3836801

Radix Representation

Decimal	3836780
Binary	1110101000101101101100 (22 bits)
Octal	0o16505554
Hexadecimal	0x3A8B6C

Divisor Catalog (24)

1 2 4 5 10 20 41 82 164 205 410 820 4,679 9,358 18,716 23,395 46,790 93,580 191,839 383,678 767,356 959,195 1,918,390 3,836,780

Collatz Trajectory (110 steps to reach 1)

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

3,836,780 1,918,390 959,195 2,877,586 1,438,793 4,316,380 2,158,190 1,079,095 3,237,286 1,618,643 4,855,930 2,427,965 7,283,896 3,641,948 1,820,974 910,487 2,731,462 1,365,731 4,097,194 2,048,597 6,145,792 3,072,896 1,536,448 768,224 384,112 192,056 96,028 48,014 24,007 72,022 36,011 108,034 54,017 162,052 81,026 40,513 121,540 60,770 30,385 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677

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