λ
Sigma Notebook

6,848,649

32 × 760961
Deficient Odd Composite

6,848,649 is odd and not a perfect square. Its factorization is 3^2 × 760961 and its 6 divisors sum to 9,892,506.

Prime Factor Structure

Factorization String 3^2 × 760961
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,892,506
Proper Divisor Sum 3,043,857
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6848629 ← → #6848657

Radix Representation

Decimal 6848649
Binary 11010001000000010001001 (23 bits)
Octal 0o32100211
Hexadecimal 0x688089

Divisor Catalog (6)

1 3 9 760,961 2,282,883 6,848,649

Collatz Trajectory (129 steps to reach 1)

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

6,848,649 20,545,948 10,272,974 5,136,487 15,409,462 7,704,731 23,114,194 11,557,097 34,671,292 17,335,646 8,667,823 26,003,470 13,001,735 39,005,206 19,502,603 58,507,810 29,253,905 87,761,716 43,880,858 21,940,429 65,821,288 32,910,644 16,455,322 8,227,661 24,682,984 12,341,492 6,170,746 3,085,373 9,256,120 4,628,060 2,314,030 1,157,015 3,471,046 1,735,523 5,206,570 2,603,285 7,809,856 3,904,928 1,952,464 976,232 488,116 244,058 122,029 366,088 183,044 91,522 45,761 137,284 68,642 34,321 102,964 51,482 25,741 77,224 38,612 19,306 9,653 28,960 14,480 7,240

More profiles

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