λ
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Atlas › Integer Profiles › Node 3,889,120

3,889,120

25 × 5 × 109 × 223
Abundant Even Composite

3,889,120 factors as 2^5 × 5 × 109 × 223. Its 48 positive divisors give a proper-divisor sum of 5,424,800, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 109 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,313,920
Proper Divisor Sum 5,424,800
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3889079 ← → #3889157

Radix Representation

Decimal 3889120
Binary 1110110101011111100000 (22 bits)
Octal 0o16653740
Hexadecimal 0x3B57E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 109 160 218 223 436 446 545 872 892 1,090 1,115 1,744 1,784 2,180 2,230 3,488 3,568 4,360 4,460 7,136 8,720 8,920 17,440 17,840 24,307 35,680 48,614 97,228 121,535 194,456 243,070 388,912 486,140 777,824 972,280 1,944,560 3,889,120

Collatz Trajectory (92 steps to reach 1)

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

3,889,120 1,944,560 972,280 486,140 243,070 121,535 364,606 182,303 546,910 273,455 820,366 410,183 1,230,550 615,275 1,845,826 922,913 2,768,740 1,384,370 692,185 2,076,556 1,038,278 519,139 1,557,418 778,709 2,336,128 1,168,064 584,032 292,016 146,008 73,004 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688

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