λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,936,010

3,936,010

2 × 5 × 132 × 17 × 137
Abundant Even Composite

3,936,010 factors as 2 × 5 × 13^2 × 17 × 137. Its 48 positive divisors give a proper-divisor sum of 4,246,286, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 17 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,182,296
Proper Divisor Sum 4,246,286
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3936007 ← → #3936011

Radix Representation

Decimal 3936010
Binary 1111000000111100001010 (22 bits)
Octal 0o17007412
Hexadecimal 0x3C0F0A

Divisor Catalog (48)

1 2 5 10 13 17 26 34 65 85 130 137 169 170 221 274 338 442 685 845 1,105 1,370 1,690 1,781 2,210 2,329 2,873 3,562 4,658 5,746 8,905 11,645 14,365 17,810 23,153 23,290 28,730 30,277 46,306 60,554 115,765 151,385 231,530 302,770 393,601 787,202 1,968,005 3,936,010

Collatz Trajectory (123 steps to reach 1)

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

3,936,010 1,968,005 5,904,016 2,952,008 1,476,004 738,002 369,001 1,107,004 553,502 276,751 830,254 415,127 1,245,382 622,691 1,868,074 934,037 2,802,112 1,401,056 700,528 350,264 175,132 87,566 43,783 131,350 65,675 197,026 98,513 295,540 147,770 73,885 221,656 110,828 55,414 27,707 83,122 41,561 124,684 62,342 31,171 93,514 46,757 140,272 70,136 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,936,009 Browse Full Index Next Integer #3,936,011 →