λ
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Atlas › Integer Profiles › Node 43,289,519

43,289,519

7 × 132 × 23 × 37 × 43
Deficient Odd Composite

43,289,519 factors as 7 × 13^2 × 23 × 37 × 43. Its 48 positive divisors give a proper-divisor sum of 15,457,873, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 23 × 37 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,747,392
Proper Divisor Sum 15,457,873
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #43289513 ← → #43289527

Radix Representation

Decimal 43289519
Binary 10100101001000101110101111 (26 bits)
Octal 0o245105657
Hexadecimal 0x2948BAF

Divisor Catalog (48)

1 7 13 23 37 43 91 161 169 259 299 301 481 559 851 989 1,183 1,591 2,093 3,367 3,887 3,913 5,957 6,253 6,923 7,267 11,063 11,137 12,857 20,683 27,209 36,593 43,771 50,869 77,441 89,999 143,819 144,781 167,141 256,151 268,879 475,709 1,006,733 1,169,987 1,882,153 3,329,963 6,184,217 43,289,519

Collatz Trajectory (142 steps to reach 1)

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

43,289,519 129,868,558 64,934,279 194,802,838 97,401,419 292,204,258 146,102,129 438,306,388 219,153,194 109,576,597 328,729,792 164,364,896 82,182,448 41,091,224 20,545,612 10,272,806 5,136,403 15,409,210 7,704,605 23,113,816 11,556,908 5,778,454 2,889,227 8,667,682 4,333,841 13,001,524 6,500,762 3,250,381 9,751,144 4,875,572 2,437,786 1,218,893 3,656,680 1,828,340 914,170 457,085 1,371,256 685,628 342,814 171,407 514,222 257,111 771,334 385,667 1,157,002 578,501 1,735,504 867,752 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627

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