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Atlas › Integer Profiles › Node 3,965,170

3,965,170

2 × 5 × 112 × 29 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 29 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,187,480
Proper Divisor Sum 4,222,310
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3965161 ← → #3965197

Radix Representation

Decimal 3965170
Binary 1111001000000011110010 (22 bits)
Octal 0o17100362
Hexadecimal 0x3C80F2

Divisor Catalog (48)

1 2 5 10 11 22 29 55 58 110 113 121 145 226 242 290 319 565 605 638 1,130 1,210 1,243 1,595 2,486 3,190 3,277 3,509 6,215 6,554 7,018 12,430 13,673 16,385 17,545 27,346 32,770 35,090 36,047 68,365 72,094 136,730 180,235 360,470 396,517 793,034 1,982,585 3,965,170

Collatz Trajectory (172 steps to reach 1)

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

3,965,170 1,982,585 5,947,756 2,973,878 1,486,939 4,460,818 2,230,409 6,691,228 3,345,614 1,672,807 5,018,422 2,509,211 7,527,634 3,763,817 11,291,452 5,645,726 2,822,863 8,468,590 4,234,295 12,702,886 6,351,443 19,054,330 9,527,165 28,581,496 14,290,748 7,145,374 3,572,687 10,718,062 5,359,031 16,077,094 8,038,547 24,115,642 12,057,821 36,173,464 18,086,732 9,043,366 4,521,683 13,565,050 6,782,525 20,347,576 10,173,788 5,086,894 2,543,447 7,630,342 3,815,171 11,445,514 5,722,757 17,168,272 8,584,136 4,292,068 2,146,034 1,073,017 3,219,052 1,609,526 804,763 2,414,290 1,207,145 3,621,436 1,810,718 905,359

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