λ
Zalai Atlas

3,032,541

32 × 59 × 5711
Deficient Odd Composite

3,032,541 has the prime decomposition 3^2 × 59 × 5711. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 59 × 5711
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,455,360
Proper Divisor Sum 1,422,819
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3032537 ← → #3032543

Radix Representation

Decimal 3032541
Binary 1011100100010111011101 (22 bits)
Octal 0o13442735
Hexadecimal 0x2E45DD

Divisor Catalog (12)

1 3 9 59 177 531 5,711 17,133 51,399 336,949 1,010,847 3,032,541

Collatz Trajectory (107 steps to reach 1)

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

3,032,541 9,097,624 4,548,812 2,274,406 1,137,203 3,411,610 1,705,805 5,117,416 2,558,708 1,279,354 639,677 1,919,032 959,516 479,758 239,879 719,638 359,819 1,079,458 539,729 1,619,188 809,594 404,797 1,214,392 607,196 303,598 151,799 455,398 227,699 683,098 341,549 1,024,648 512,324 256,162 128,081 384,244 192,122 96,061 288,184 144,092 72,046 36,023 108,070 54,035 162,106 81,053 243,160 121,580 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235

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