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Atlas › Integer Profiles › Node 4,436,718

4,436,718

2 × 3 × 11 × 13 × 5171
Abundant Even Composite

4,436,718 factors as 2 × 3 × 11 × 13 × 5171. Its 32 positive divisors give a proper-divisor sum of 5,990,034, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 5171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,426,752
Proper Divisor Sum 5,990,034
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4436701 ← → #4436737

Radix Representation

Decimal 4436718
Binary 10000111011001011101110 (23 bits)
Octal 0o20731356
Hexadecimal 0x43B2EE

Divisor Catalog (32)

1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 5,171 10,342 15,513 31,026 56,881 67,223 113,762 134,446 170,643 201,669 341,286 403,338 739,453 1,478,906 2,218,359 4,436,718

Collatz Trajectory (141 steps to reach 1)

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

4,436,718 2,218,359 6,655,078 3,327,539 9,982,618 4,991,309 14,973,928 7,486,964 3,743,482 1,871,741 5,615,224 2,807,612 1,403,806 701,903 2,105,710 1,052,855 3,158,566 1,579,283 4,737,850 2,368,925 7,106,776 3,553,388 1,776,694 888,347 2,665,042 1,332,521 3,997,564 1,998,782 999,391 2,998,174 1,499,087 4,497,262 2,248,631 6,745,894 3,372,947 10,118,842 5,059,421 15,178,264 7,589,132 3,794,566 1,897,283 5,691,850 2,845,925 8,537,776 4,268,888 2,134,444 1,067,222 533,611 1,600,834 800,417 2,401,252 1,200,626 600,313 1,800,940 900,470 450,235 1,350,706 675,353 2,026,060 1,013,030

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