9,072,732

2² × 3 × 73 × 10357

9,072,732 factors as 2^2 × 3 × 73 × 10357. Its 24 positive divisors give a proper-divisor sum of 12,389,044, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 10357

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,461,776

Proper Divisor Sum 12,389,044

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9072731 ← → #9072757

Radix Representation

Decimal	9072732
Binary	100010100111000001011100 (24 bits)
Octal	0o42470134
Hexadecimal	0x8A705C

Divisor Catalog (24)

1 2 3 4 6 12 73 146 219 292 438 876 10,357 20,714 31,071 41,428 62,142 124,284 756,061 1,512,122 2,268,183 3,024,244 4,536,366 9,072,732

Collatz Trajectory (88 steps to reach 1)

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

9,072,732 4,536,366 2,268,183 6,804,550 3,402,275 10,206,826 5,103,413 15,310,240 7,655,120 3,827,560 1,913,780 956,890 478,445 1,435,336 717,668 358,834 179,417 538,252 269,126 134,563 403,690 201,845 605,536 302,768 151,384 75,692 37,846 18,923 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600

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