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Atlas › Integer Profiles › Node 3,989,488

3,989,488

24 × 23 × 37 × 293
Abundant Even Composite

3,989,488 factors as 2^4 × 23 × 37 × 293. Its 40 positive divisors give a proper-divisor sum of 4,322,480, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 37 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,311,968
Proper Divisor Sum 4,322,480
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #3989477 ← → #3989519

Radix Representation

Decimal 3989488
Binary 1111001101111111110000 (22 bits)
Octal 0o17157760
Hexadecimal 0x3CDFF0

Divisor Catalog (40)

1 2 4 8 16 23 37 46 74 92 148 184 293 296 368 586 592 851 1,172 1,702 2,344 3,404 4,688 6,739 6,808 10,841 13,478 13,616 21,682 26,956 43,364 53,912 86,728 107,824 173,456 249,343 498,686 997,372 1,994,744 3,989,488

Collatz Trajectory (115 steps to reach 1)

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

3,989,488 1,994,744 997,372 498,686 249,343 748,030 374,015 1,122,046 561,023 1,683,070 841,535 2,524,606 1,262,303 3,786,910 1,893,455 5,680,366 2,840,183 8,520,550 4,260,275 12,780,826 6,390,413 19,171,240 9,585,620 4,792,810 2,396,405 7,189,216 3,594,608 1,797,304 898,652 449,326 224,663 673,990 336,995 1,010,986 505,493 1,516,480 758,240 379,120 189,560 94,780 47,390 23,695 71,086 35,543 106,630 53,315 159,946 79,973 239,920 119,960 59,980 29,990 14,995 44,986 22,493 67,480 33,740 16,870 8,435 25,306

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