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Atlas › Integer Profiles › Node 9,307,300

9,307,300

22 × 52 × 163 × 571
Abundant Even Composite

9,307,300 factors as 2^2 × 5^2 × 163 × 571. Its 36 positive divisors give a proper-divisor sum of 11,049,036, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 163 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,356,336
Proper Divisor Sum 11,049,036
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9307273 ← → #9307303

Radix Representation

Decimal 9307300
Binary 100011100000010010100100 (24 bits)
Octal 0o43402244
Hexadecimal 0x8E04A4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 163 326 571 652 815 1,142 1,630 2,284 2,855 3,260 4,075 5,710 8,150 11,420 14,275 16,300 28,550 57,100 93,073 186,146 372,292 465,365 930,730 1,861,460 2,326,825 4,653,650 9,307,300

Collatz Trajectory (106 steps to reach 1)

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

9,307,300 4,653,650 2,326,825 6,980,476 3,490,238 1,745,119 5,235,358 2,617,679 7,853,038 3,926,519 11,779,558 5,889,779 17,669,338 8,834,669 26,504,008 13,252,004 6,626,002 3,313,001 9,939,004 4,969,502 2,484,751 7,454,254 3,727,127 11,181,382 5,590,691 16,772,074 8,386,037 25,158,112 12,579,056 6,289,528 3,144,764 1,572,382 786,191 2,358,574 1,179,287 3,537,862 1,768,931 5,306,794 2,653,397 7,960,192 3,980,096 1,990,048 995,024 497,512 248,756 124,378 62,189 186,568 93,284 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839

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