λ
Sigma Notebook

2,968,790

2 × 5 × 11 × 137 × 197
Deficient Even Composite

2,968,790 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 137 × 197 and its 32 divisors sum to 5,901,984.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 137 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,901,984
Proper Divisor Sum 2,933,194
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2968787 ← → #2968813

Radix Representation

Decimal 2968790
Binary 1011010100110011010110 (22 bits)
Octal 0o13246326
Hexadecimal 0x2D4CD6

Divisor Catalog (32)

1 2 5 10 11 22 55 110 137 197 274 394 685 985 1,370 1,507 1,970 2,167 3,014 4,334 7,535 10,835 15,070 21,670 26,989 53,978 134,945 269,890 296,879 593,758 1,484,395 2,968,790

Collatz Trajectory (120 steps to reach 1)

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

2,968,790 1,484,395 4,453,186 2,226,593 6,679,780 3,339,890 1,669,945 5,009,836 2,504,918 1,252,459 3,757,378 1,878,689 5,636,068 2,818,034 1,409,017 4,227,052 2,113,526 1,056,763 3,170,290 1,585,145 4,755,436 2,377,718 1,188,859 3,566,578 1,783,289 5,349,868 2,674,934 1,337,467 4,012,402 2,006,201 6,018,604 3,009,302 1,504,651 4,513,954 2,256,977 6,770,932 3,385,466 1,692,733 5,078,200 2,539,100 1,269,550 634,775 1,904,326 952,163 2,856,490 1,428,245 4,284,736 2,142,368 1,071,184 535,592 267,796 133,898 66,949 200,848 100,424 50,212 25,106 12,553 37,660 18,830

More profiles

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