λ
Sigma Notebook

7,725,292

22 × 1931323
Deficient Even Composite

7,725,292 is even and not a perfect square. Its factorization is 2^2 × 1931323 and its 6 divisors sum to 13,519,268.

Prime Factor Structure

Factorization String 2^2 × 1931323
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,519,268
Proper Divisor Sum 5,793,976
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7725287 ← → #7725299

Radix Representation

Decimal 7725292
Binary 11101011110000011101100 (23 bits)
Octal 0o35360354
Hexadecimal 0x75E0EC

Divisor Catalog (6)

1 2 4 1,931,323 3,862,646 7,725,292

Collatz Trajectory (173 steps to reach 1)

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

7,725,292 3,862,646 1,931,323 5,793,970 2,896,985 8,690,956 4,345,478 2,172,739 6,518,218 3,259,109 9,777,328 4,888,664 2,444,332 1,222,166 611,083 1,833,250 916,625 2,749,876 1,374,938 687,469 2,062,408 1,031,204 515,602 257,801 773,404 386,702 193,351 580,054 290,027 870,082 435,041 1,305,124 652,562 326,281 978,844 489,422 244,711 734,134 367,067 1,101,202 550,601 1,651,804 825,902 412,951 1,238,854 619,427 1,858,282 929,141 2,787,424 1,393,712 696,856 348,428 174,214 87,107 261,322 130,661 391,984 195,992 97,996 48,998

More profiles

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