λ
Sigma Notebook

6,760,446

2 × 3 × 7 × 11 × 14633
Abundant Even Composite

6,760,446 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 11 × 14633 and its 32 divisors sum to 16,858,368.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 14633
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,858,368
Proper Divisor Sum 10,097,922
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6760427 ← → #6760471

Radix Representation

Decimal 6760446
Binary 11001110010011111111110 (23 bits)
Octal 0o31623776
Hexadecimal 0x6727FE

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 14,633 29,266 43,899 87,798 102,431 160,963 204,862 307,293 321,926 482,889 614,586 965,778 1,126,741 2,253,482 3,380,223 6,760,446

Collatz Trajectory (134 steps to reach 1)

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

6,760,446 3,380,223 10,140,670 5,070,335 15,211,006 7,605,503 22,816,510 11,408,255 34,224,766 17,112,383 51,337,150 25,668,575 77,005,726 38,502,863 115,508,590 57,754,295 173,262,886 86,631,443 259,894,330 129,947,165 389,841,496 194,920,748 97,460,374 48,730,187 146,190,562 73,095,281 219,285,844 109,642,922 54,821,461 164,464,384 82,232,192 41,116,096 20,558,048 10,279,024 5,139,512 2,569,756 1,284,878 642,439 1,927,318 963,659 2,890,978 1,445,489 4,336,468 2,168,234 1,084,117 3,252,352 1,626,176 813,088 406,544 203,272 101,636 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880

More profiles

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