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Atlas › Integer Profiles › Node 43,836,712

43,836,712

23 × 23 × 37 × 47 × 137
Abundant Even Composite

43,836,712 factors as 2^3 × 23 × 37 × 47 × 137. Its 64 positive divisors give a proper-divisor sum of 46,779,608, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 37 × 47 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 90,616,320
Proper Divisor Sum 46,779,608
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #43836701 ← → #43836713

Radix Representation

Decimal 43836712
Binary 10100111001110010100101000 (26 bits)
Octal 0o247162450
Hexadecimal 0x29CE528

Divisor Catalog (60 of 64)

1 2 4 8 23 37 46 47 74 92 94 137 148 184 188 274 296 376 548 851 1,081 1,096 1,702 1,739 2,162 3,151 3,404 3,478 4,324 5,069 6,302 6,439 6,808 6,956 8,648 10,138 12,604 12,878 13,912 20,276 25,208 25,756 39,997 40,552 51,512 79,994 116,587 148,097 159,988 233,174 238,243 296,194 319,976 466,348 476,486 592,388 932,696 952,972 1,184,776 1,905,944

Collatz Trajectory (204 steps to reach 1)

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

43,836,712 21,918,356 10,959,178 5,479,589 16,438,768 8,219,384 4,109,692 2,054,846 1,027,423 3,082,270 1,541,135 4,623,406 2,311,703 6,935,110 3,467,555 10,402,666 5,201,333 15,604,000 7,802,000 3,901,000 1,950,500 975,250 487,625 1,462,876 731,438 365,719 1,097,158 548,579 1,645,738 822,869 2,468,608 1,234,304 617,152 308,576 154,288 77,144 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726

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