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Atlas › Integer Profiles › Node 10,311,730

10,311,730

2 × 5 × 11 × 13 × 7211
Abundant Even Composite

10,311,730 factors as 2 × 5 × 11 × 13 × 7211. Its 32 positive divisors give a proper-divisor sum of 11,497,358, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 13 × 7211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,809,088
Proper Divisor Sum 11,497,358
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10311709 ← → #10311731

Radix Representation

Decimal 10311730
Binary 100111010101100000110010 (24 bits)
Octal 0o47254062
Hexadecimal 0x9D5832

Divisor Catalog (32)

1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1,430 7,211 14,422 36,055 72,110 79,321 93,743 158,642 187,486 396,605 468,715 793,210 937,430 1,031,173 2,062,346 5,155,865 10,311,730

Collatz Trajectory (207 steps to reach 1)

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

10,311,730 5,155,865 15,467,596 7,733,798 3,866,899 11,600,698 5,800,349 17,401,048 8,700,524 4,350,262 2,175,131 6,525,394 3,262,697 9,788,092 4,894,046 2,447,023 7,341,070 3,670,535 11,011,606 5,505,803 16,517,410 8,258,705 24,776,116 12,388,058 6,194,029 18,582,088 9,291,044 4,645,522 2,322,761 6,968,284 3,484,142 1,742,071 5,226,214 2,613,107 7,839,322 3,919,661 11,758,984 5,879,492 2,939,746 1,469,873 4,409,620 2,204,810 1,102,405 3,307,216 1,653,608 826,804 413,402 206,701 620,104 310,052 155,026 77,513 232,540 116,270 58,135 174,406 87,203 261,610 130,805 392,416

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