λ
Sigma Notebook

7,665,949

19 × 73 × 5527
Deficient Odd Composite

7,665,949 is odd and not a perfect square. Its factorization is 19 × 73 × 5527 and its 8 divisors sum to 8,181,440.

Prime Factor Structure

Factorization String 19 × 73 × 5527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,181,440
Proper Divisor Sum 515,491
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7665913 ← → #7665953

Radix Representation

Decimal 7665949
Binary 11101001111100100011101 (23 bits)
Octal 0o35174435
Hexadecimal 0x74F91D

Divisor Catalog (8)

1 19 73 1,387 5,527 105,013 403,471 7,665,949

Collatz Trajectory (248 steps to reach 1)

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

7,665,949 22,997,848 11,498,924 5,749,462 2,874,731 8,624,194 4,312,097 12,936,292 6,468,146 3,234,073 9,702,220 4,851,110 2,425,555 7,276,666 3,638,333 10,915,000 5,457,500 2,728,750 1,364,375 4,093,126 2,046,563 6,139,690 3,069,845 9,209,536 4,604,768 2,302,384 1,151,192 575,596 287,798 143,899 431,698 215,849 647,548 323,774 161,887 485,662 242,831 728,494 364,247 1,092,742 546,371 1,639,114 819,557 2,458,672 1,229,336 614,668 307,334 153,667 461,002 230,501 691,504 345,752 172,876 86,438 43,219 129,658 64,829 194,488 97,244 48,622

More profiles

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