3,747,636

2² × 3² × 19 × 5479

3,747,636 has the prime decomposition 2^2 × 3^2 × 19 × 5479. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 5479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,973,600

Proper Divisor Sum 6,225,964

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3747629 ← → #3747637

Radix Representation

Decimal	3747636
Binary	1110010010111100110100 (22 bits)
Octal	0o16227464
Hexadecimal	0x392F34

Divisor Catalog (36)

1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 5,479 10,958 16,437 21,916 32,874 49,311 65,748 98,622 104,101 197,244 208,202 312,303 416,404 624,606 936,909 1,249,212 1,873,818 3,747,636

Collatz Trajectory (110 steps to reach 1)

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

3,747,636 1,873,818 936,909 2,810,728 1,405,364 702,682 351,341 1,054,024 527,012 263,506 131,753 395,260 197,630 98,815 296,446 148,223 444,670 222,335 667,006 333,503 1,000,510 500,255 1,500,766 750,383 2,251,150 1,125,575 3,376,726 1,688,363 5,065,090 2,532,545 7,597,636 3,798,818 1,899,409 5,698,228 2,849,114 1,424,557 4,273,672 2,136,836 1,068,418 534,209 1,602,628 801,314 400,657 1,201,972 600,986 300,493 901,480 450,740 225,370 112,685 338,056 169,028 84,514 42,257 126,772 63,386 31,693 95,080 47,540 23,770

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