λ
Math Directory

9,644,643

33 × 523 × 683
Deficient Odd Composite

9,644,643 factors as 3^3 × 523 × 683. Its 16 positive divisors give a proper-divisor sum of 4,691,997, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3^3 × 523 × 683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,336,640
Proper Divisor Sum 4,691,997
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9644641 ← → #9644653

Radix Representation

Decimal 9644643
Binary 100100110010101001100011 (24 bits)
Octal 0o44625143
Hexadecimal 0x932A63

Divisor Catalog (16)

1 3 9 27 523 683 1,569 2,049 4,707 6,147 14,121 18,441 357,209 1,071,627 3,214,881 9,644,643

Collatz Trajectory (145 steps to reach 1)

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

9,644,643 28,933,930 14,466,965 43,400,896 21,700,448 10,850,224 5,425,112 2,712,556 1,356,278 678,139 2,034,418 1,017,209 3,051,628 1,525,814 762,907 2,288,722 1,144,361 3,433,084 1,716,542 858,271 2,574,814 1,287,407 3,862,222 1,931,111 5,793,334 2,896,667 8,690,002 4,345,001 13,035,004 6,517,502 3,258,751 9,776,254 4,888,127 14,664,382 7,332,191 21,996,574 10,998,287 32,994,862 16,497,431 49,492,294 24,746,147 74,238,442 37,119,221 111,357,664 55,678,832 27,839,416 13,919,708 6,959,854 3,479,927 10,439,782 5,219,891 15,659,674 7,829,837 23,489,512 11,744,756 5,872,378 2,936,189 8,808,568 4,404,284 2,202,142

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