λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,363,696

41,363,696

24 × 11 × 197 × 1193
Abundant Even Composite

41,363,696 factors as 2^4 × 11 × 197 × 1193. Its 40 positive divisors give a proper-divisor sum of 46,581,568, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 197 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 87,945,264
Proper Divisor Sum 46,581,568
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #41363653 ← → #41363731

Radix Representation

Decimal 41363696
Binary 10011101110010100011110000 (26 bits)
Octal 0o235624360
Hexadecimal 0x27728F0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 197 394 788 1,193 1,576 2,167 2,386 3,152 4,334 4,772 8,668 9,544 13,123 17,336 19,088 26,246 34,672 52,492 104,984 209,968 235,021 470,042 940,084 1,880,168 2,585,231 3,760,336 5,170,462 10,340,924 20,681,848 41,363,696

Collatz Trajectory (160 steps to reach 1)

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

41,363,696 20,681,848 10,340,924 5,170,462 2,585,231 7,755,694 3,877,847 11,633,542 5,816,771 17,450,314 8,725,157 26,175,472 13,087,736 6,543,868 3,271,934 1,635,967 4,907,902 2,453,951 7,361,854 3,680,927 11,042,782 5,521,391 16,564,174 8,282,087 24,846,262 12,423,131 37,269,394 18,634,697 55,904,092 27,952,046 13,976,023 41,928,070 20,964,035 62,892,106 31,446,053 94,338,160 47,169,080 23,584,540 11,792,270 5,896,135 17,688,406 8,844,203 26,532,610 13,266,305 39,798,916 19,899,458 9,949,729 29,849,188 14,924,594 7,462,297 22,386,892 11,193,446 5,596,723 16,790,170 8,395,085 25,185,256 12,592,628 6,296,314 3,148,157 9,444,472

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #41,363,695 Browse Full Index Next Integer #41,363,697 →