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Atlas › Integer Profiles › Node 7,300,920

7,300,920

23 × 3 × 5 × 11 × 5531
Abundant Even Composite

7,300,920 factors as 2^3 × 3 × 5 × 11 × 5531. Its 64 positive divisors give a proper-divisor sum of 16,597,320, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 5531
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,898,240
Proper Divisor Sum 16,597,320
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7300919 ← → #7300963

Radix Representation

Decimal 7300920
Binary 11011110110011100111000 (23 bits)
Octal 0o33663470
Hexadecimal 0x6F6738

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 5,531 11,062 16,593 22,124 27,655 33,186 44,248 55,310 60,841 66,372 82,965 110,620 121,682 132,744 165,930 182,523 221,240 243,364 304,205 331,860 365,046 486,728 608,410 663,720 730,092 912,615 1,216,820 1,460,184

Collatz Trajectory (173 steps to reach 1)

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

7,300,920 3,650,460 1,825,230 912,615 2,737,846 1,368,923 4,106,770 2,053,385 6,160,156 3,080,078 1,540,039 4,620,118 2,310,059 6,930,178 3,465,089 10,395,268 5,197,634 2,598,817 7,796,452 3,898,226 1,949,113 5,847,340 2,923,670 1,461,835 4,385,506 2,192,753 6,578,260 3,289,130 1,644,565 4,933,696 2,466,848 1,233,424 616,712 308,356 154,178 77,089 231,268 115,634 57,817 173,452 86,726 43,363 130,090 65,045 195,136 97,568 48,784 24,392 12,196 6,098 3,049 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721

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