λ
Sigma Notebook

6,852,340

22 × 5 × 11 × 31147
Abundant Even Composite

6,852,340 is even and not a perfect square. Its factorization is 2^2 × 5 × 11 × 31147 and its 24 divisors sum to 15,698,592.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 31147
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,698,592
Proper Divisor Sum 8,846,252
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6852337 ← → #6852341

Radix Representation

Decimal 6852340
Binary 11010001000111011110100 (23 bits)
Octal 0o32107364
Hexadecimal 0x688EF4

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 31,147 62,294 124,588 155,735 311,470 342,617 622,940 685,234 1,370,468 1,713,085 3,426,170 6,852,340

Collatz Trajectory (160 steps to reach 1)

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

6,852,340 3,426,170 1,713,085 5,139,256 2,569,628 1,284,814 642,407 1,927,222 963,611 2,890,834 1,445,417 4,336,252 2,168,126 1,084,063 3,252,190 1,626,095 4,878,286 2,439,143 7,317,430 3,658,715 10,976,146 5,488,073 16,464,220 8,232,110 4,116,055 12,348,166 6,174,083 18,522,250 9,261,125 27,783,376 13,891,688 6,945,844 3,472,922 1,736,461 5,209,384 2,604,692 1,302,346 651,173 1,953,520 976,760 488,380 244,190 122,095 366,286 183,143 549,430 274,715 824,146 412,073 1,236,220 618,110 309,055 927,166 463,583 1,390,750 695,375 2,086,126 1,043,063 3,129,190 1,564,595

More profiles

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