λ
Sigma Notebook

9,577,724

22 × 13 × 184187
Deficient Even Composite

9,577,724 is even and not a perfect square. Its factorization is 2^2 × 13 × 184187 and its 12 divisors sum to 18,050,424.

Prime Factor Structure

Factorization String 2^2 × 13 × 184187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,050,424
Proper Divisor Sum 8,472,700
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9577697 ← → #9577727

Radix Representation

Decimal 9577724
Binary 100100100010010011111100 (24 bits)
Octal 0o44422374
Hexadecimal 0x9224FC

Divisor Catalog (12)

1 2 4 13 26 52 184,187 368,374 736,748 2,394,431 4,788,862 9,577,724

Collatz Trajectory (230 steps to reach 1)

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

9,577,724 4,788,862 2,394,431 7,183,294 3,591,647 10,774,942 5,387,471 16,162,414 8,081,207 24,243,622 12,121,811 36,365,434 18,182,717 54,548,152 27,274,076 13,637,038 6,818,519 20,455,558 10,227,779 30,683,338 15,341,669 46,025,008 23,012,504 11,506,252 5,753,126 2,876,563 8,629,690 4,314,845 12,944,536 6,472,268 3,236,134 1,618,067 4,854,202 2,427,101 7,281,304 3,640,652 1,820,326 910,163 2,730,490 1,365,245 4,095,736 2,047,868 1,023,934 511,967 1,535,902 767,951 2,303,854 1,151,927 3,455,782 1,727,891 5,183,674 2,591,837 7,775,512 3,887,756 1,943,878 971,939 2,915,818 1,457,909 4,373,728 2,186,864

More profiles

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