λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,969,864

3,969,864

23 × 33 × 18379
Abundant Even Composite

3,969,864 factors as 2^3 × 3^3 × 18379. Its 32 positive divisors give a proper-divisor sum of 7,058,136, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 18379
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,028,000
Proper Divisor Sum 7,058,136
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3969863 ← → #3969871

Radix Representation

Decimal 3969864
Binary 1111001001001101001000 (22 bits)
Octal 0o17111510
Hexadecimal 0x3C9348

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18,379 36,758 55,137 73,516 110,274 147,032 165,411 220,548 330,822 441,096 496,233 661,644 992,466 1,323,288 1,984,932 3,969,864

Collatz Trajectory (123 steps to reach 1)

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

3,969,864 1,984,932 992,466 496,233 1,488,700 744,350 372,175 1,116,526 558,263 1,674,790 837,395 2,512,186 1,256,093 3,768,280 1,884,140 942,070 471,035 1,413,106 706,553 2,119,660 1,059,830 529,915 1,589,746 794,873 2,384,620 1,192,310 596,155 1,788,466 894,233 2,682,700 1,341,350 670,675 2,012,026 1,006,013 3,018,040 1,509,020 754,510 377,255 1,131,766 565,883 1,697,650 848,825 2,546,476 1,273,238 636,619 1,909,858 954,929 2,864,788 1,432,394 716,197 2,148,592 1,074,296 537,148 268,574 134,287 402,862 201,431 604,294 302,147 906,442

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,969,863 Browse Full Index Next Integer #3,969,865 →