λ
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Atlas › Integer Profiles › Node 9,478,300

9,478,300

22 × 52 × 13 × 23 × 317
Abundant Even Composite

9,478,300 factors as 2^2 × 5^2 × 13 × 23 × 317. Its 72 positive divisors give a proper-divisor sum of 13,707,716, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 23 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,186,016
Proper Divisor Sum 13,707,716
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9478297 ← → #9478307

Radix Representation

Decimal 9478300
Binary 100100001010000010011100 (24 bits)
Octal 0o44120234
Hexadecimal 0x90A09C

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 317 325 460 575 598 634 650 1,150 1,196 1,268 1,300 1,495 1,585 2,300 2,990 3,170 4,121 5,980 6,340 7,291 7,475 7,925 8,242 14,582 14,950 15,850 16,484 20,605 29,164 29,900 31,700 36,455 41,210 72,910 82,420 94,783 103,025 145,820 182,275

Collatz Trajectory (176 steps to reach 1)

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

9,478,300 4,739,150 2,369,575 7,108,726 3,554,363 10,663,090 5,331,545 15,994,636 7,997,318 3,998,659 11,995,978 5,997,989 17,993,968 8,996,984 4,498,492 2,249,246 1,124,623 3,373,870 1,686,935 5,060,806 2,530,403 7,591,210 3,795,605 11,386,816 5,693,408 2,846,704 1,423,352 711,676 355,838 177,919 533,758 266,879 800,638 400,319 1,200,958 600,479 1,801,438 900,719 2,702,158 1,351,079 4,053,238 2,026,619 6,079,858 3,039,929 9,119,788 4,559,894 2,279,947 6,839,842 3,419,921 10,259,764 5,129,882 2,564,941 7,694,824 3,847,412 1,923,706 961,853 2,885,560 1,442,780 721,390 360,695

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