λ
Sigma Notebook

9,723,096

23 × 32 × 135043
Abundant Even Composite

9,723,096 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 135043 and its 24 divisors sum to 26,333,580.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 135043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 26,333,580
Proper Divisor Sum 16,610,484
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9723071 ← → #9723121

Radix Representation

Decimal 9723096
Binary 100101000101110011011000 (24 bits)
Octal 0o45056330
Hexadecimal 0x945CD8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 135,043 270,086 405,129 540,172 810,258 1,080,344 1,215,387 1,620,516 2,430,774 3,241,032 4,861,548 9,723,096

Collatz Trajectory (114 steps to reach 1)

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

9,723,096 4,861,548 2,430,774 1,215,387 3,646,162 1,823,081 5,469,244 2,734,622 1,367,311 4,101,934 2,050,967 6,152,902 3,076,451 9,229,354 4,614,677 13,844,032 6,922,016 3,461,008 1,730,504 865,252 432,626 216,313 648,940 324,470 162,235 486,706 243,353 730,060 365,030 182,515 547,546 273,773 821,320 410,660 205,330 102,665 307,996 153,998 76,999 230,998 115,499 346,498 173,249 519,748 259,874 129,937 389,812 194,906 97,453 292,360 146,180 73,090 36,545 109,636 54,818 27,409 82,228 41,114 20,557 61,672

More profiles

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