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Atlas › Integer Profiles › Node 39,005,140

39,005,140

22 × 5 × 17 × 89 × 1289
Abundant Even Composite

39,005,140 factors as 2^2 × 5 × 17 × 89 × 1289. Its 48 positive divisors give a proper-divisor sum of 48,766,460, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 89 × 1289
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 87,771,600
Proper Divisor Sum 48,766,460
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #39005137 ← → #39005143

Radix Representation

Decimal 39005140
Binary 10010100110010101111010100 (26 bits)
Octal 0o224625724
Hexadecimal 0x2532BD4

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1,289 1,513 1,780 2,578 3,026 5,156 6,052 6,445 7,565 12,890 15,130 21,913 25,780 30,260 43,826 87,652 109,565 114,721 219,130 229,442 438,260 458,884 573,605 1,147,210 1,950,257 2,294,420 3,900,514 7,801,028 9,751,285 19,502,570 39,005,140

Collatz Trajectory (116 steps to reach 1)

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

39,005,140 19,502,570 9,751,285 29,253,856 14,626,928 7,313,464 3,656,732 1,828,366 914,183 2,742,550 1,371,275 4,113,826 2,056,913 6,170,740 3,085,370 1,542,685 4,628,056 2,314,028 1,157,014 578,507 1,735,522 867,761 2,603,284 1,301,642 650,821 1,952,464 976,232 488,116 244,058 122,029 366,088 183,044 91,522 45,761 137,284 68,642 34,321 102,964 51,482 25,741 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147

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