32,093,046

2 × 3² × 1782947

32,093,046 factors as 2 × 3^2 × 1782947. Its 12 positive divisors give a proper-divisor sum of 37,441,926, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1782947

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 69,534,972

Proper Divisor Sum 37,441,926

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #32093041 ← → #32093069

Radix Representation

Decimal	32093046
Binary	1111010011011001101110110 (25 bits)
Octal	0o172331566
Hexadecimal	0x1E9B376

Divisor Catalog (12)

1 2 3 6 9 18 1,782,947 3,565,894 5,348,841 10,697,682 16,046,523 32,093,046

Collatz Trajectory (144 steps to reach 1)

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

32,093,046 16,046,523 48,139,570 24,069,785 72,209,356 36,104,678 18,052,339 54,157,018 27,078,509 81,235,528 40,617,764 20,308,882 10,154,441 30,463,324 15,231,662 7,615,831 22,847,494 11,423,747 34,271,242 17,135,621 51,406,864 25,703,432 12,851,716 6,425,858 3,212,929 9,638,788 4,819,394 2,409,697 7,229,092 3,614,546 1,807,273 5,421,820 2,710,910 1,355,455 4,066,366 2,033,183 6,099,550 3,049,775 9,149,326 4,574,663 13,723,990 6,861,995 20,585,986 10,292,993 30,878,980 15,439,490 7,719,745 23,159,236 11,579,618 5,789,809 17,369,428 8,684,714 4,342,357 13,027,072 6,513,536 3,256,768 1,628,384 814,192 407,096 203,548

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