λ
Sigma Notebook

9,756,024

23 × 3 × 406501
Abundant Even Composite

9,756,024 is even and not a perfect square. Its factorization is 2^3 × 3 × 406501 and its 16 divisors sum to 24,390,120.

Prime Factor Structure

Factorization String 2^3 × 3 × 406501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 24,390,120
Proper Divisor Sum 14,634,096
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9756023 ← → #9756067

Radix Representation

Decimal 9756024
Binary 100101001101110101111000 (24 bits)
Octal 0o45156570
Hexadecimal 0x94DD78

Divisor Catalog (16)

1 2 3 4 6 8 12 24 406,501 813,002 1,219,503 1,626,004 2,439,006 3,252,008 4,878,012 9,756,024

Collatz Trajectory (145 steps to reach 1)

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

9,756,024 4,878,012 2,439,006 1,219,503 3,658,510 1,829,255 5,487,766 2,743,883 8,231,650 4,115,825 12,347,476 6,173,738 3,086,869 9,260,608 4,630,304 2,315,152 1,157,576 578,788 289,394 144,697 434,092 217,046 108,523 325,570 162,785 488,356 244,178 122,089 366,268 183,134 91,567 274,702 137,351 412,054 206,027 618,082 309,041 927,124 463,562 231,781 695,344 347,672 173,836 86,918 43,459 130,378 65,189 195,568 97,784 48,892 24,446 12,223 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883

More profiles

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