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Atlas › Integer Profiles › Node 3,969,720

3,969,720

23 × 32 × 5 × 11027
Abundant Even Composite

3,969,720 factors as 2^3 × 3^2 × 5 × 11027. Its 48 positive divisors give a proper-divisor sum of 8,933,040, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11027
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,902,760
Proper Divisor Sum 8,933,040
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3969709 ← → #3969733

Radix Representation

Decimal 3969720
Binary 1111001001001010111000 (22 bits)
Octal 0o17111270
Hexadecimal 0x3C92B8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11,027 22,054 33,081 44,108 55,135 66,162 88,216 99,243 110,270 132,324 165,405 198,486 220,540 264,648 330,810 396,972 441,080 496,215 661,620 793,944 992,430 1,323,240 1,984,860 3,969,720

Collatz Trajectory (141 steps to reach 1)

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

3,969,720 1,984,860 992,430 496,215 1,488,646 744,323 2,232,970 1,116,485 3,349,456 1,674,728 837,364 418,682 209,341 628,024 314,012 157,006 78,503 235,510 117,755 353,266 176,633 529,900 264,950 132,475 397,426 198,713 596,140 298,070 149,035 447,106 223,553 670,660 335,330 167,665 502,996 251,498 125,749 377,248 188,624 94,312 47,156 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701

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