λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,960,090

3,960,090

2 × 34 × 5 × 4889
Abundant Even Composite

3,960,090 factors as 2 × 3^4 × 5 × 4889. Its 40 positive divisors give a proper-divisor sum of 6,690,330, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 4889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,650,420
Proper Divisor Sum 6,690,330
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3960083 ← → #3960101

Radix Representation

Decimal 3960090
Binary 1111000110110100011010 (22 bits)
Octal 0o17066432
Hexadecimal 0x3C6D1A

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 4,889 9,778 14,667 24,445 29,334 44,001 48,890 73,335 88,002 132,003 146,670 220,005 264,006 396,009 440,010 660,015 792,018 1,320,030 1,980,045 3,960,090

Collatz Trajectory (185 steps to reach 1)

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

3,960,090 1,980,045 5,940,136 2,970,068 1,485,034 742,517 2,227,552 1,113,776 556,888 278,444 139,222 69,611 208,834 104,417 313,252 156,626 78,313 234,940 117,470 58,735 176,206 88,103 264,310 132,155 396,466 198,233 594,700 297,350 148,675 446,026 223,013 669,040 334,520 167,260 83,630 41,815 125,446 62,723 188,170 94,085 282,256 141,128 70,564 35,282 17,641 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,960,089 Browse Full Index Next Integer #3,960,091 →