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Atlas › Integer Profiles › Node 3,915,090

3,915,090

2 × 32 × 5 × 41 × 1061
Abundant Even Composite

3,915,090 factors as 2 × 3^2 × 5 × 41 × 1061. Its 48 positive divisors give a proper-divisor sum of 6,522,246, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 41 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,437,336
Proper Divisor Sum 6,522,246
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3915077 ← → #3915101

Radix Representation

Decimal 3915090
Binary 1110111011110101010010 (22 bits)
Octal 0o16736522
Hexadecimal 0x3BBD52

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1,061 1,230 1,845 2,122 3,183 3,690 5,305 6,366 9,549 10,610 15,915 19,098 31,830 43,501 47,745 87,002 95,490 130,503 217,505 261,006 391,509 435,010 652,515 783,018 1,305,030 1,957,545 3,915,090

Collatz Trajectory (216 steps to reach 1)

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

3,915,090 1,957,545 5,872,636 2,936,318 1,468,159 4,404,478 2,202,239 6,606,718 3,303,359 9,910,078 4,955,039 14,865,118 7,432,559 22,297,678 11,148,839 33,446,518 16,723,259 50,169,778 25,084,889 75,254,668 37,627,334 18,813,667 56,441,002 28,220,501 84,661,504 42,330,752 21,165,376 10,582,688 5,291,344 2,645,672 1,322,836 661,418 330,709 992,128 496,064 248,032 124,016 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838

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