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Atlas › Integer Profiles › Node 3,669,732

3,669,732

22 × 33 × 11 × 3089
Abundant Even Composite

3,669,732 factors as 2^2 × 3^3 × 11 × 3089. Its 48 positive divisors give a proper-divisor sum of 6,712,668, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 3089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,382,400
Proper Divisor Sum 6,712,668
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3669727 ← → #3669751

Radix Representation

Decimal 3669732
Binary 1101111111111011100100 (22 bits)
Octal 0o15777344
Hexadecimal 0x37FEE4

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1,188 3,089 6,178 9,267 12,356 18,534 27,801 33,979 37,068 55,602 67,958 83,403 101,937 111,204 135,916 166,806 203,874 305,811 333,612 407,748 611,622 917,433 1,223,244 1,834,866 3,669,732

Collatz Trajectory (110 steps to reach 1)

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

3,669,732 1,834,866 917,433 2,752,300 1,376,150 688,075 2,064,226 1,032,113 3,096,340 1,548,170 774,085 2,322,256 1,161,128 580,564 290,282 145,141 435,424 217,712 108,856 54,428 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887

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