λ
Sigma Notebook

3,001,138

2 × 7 × 47 × 4561
Deficient Even Composite

3,001,138 is even and not a perfect square. Its factorization is 2 × 7 × 47 × 4561 and its 16 divisors sum to 5,255,424.

Prime Factor Structure

Factorization String 2 × 7 × 47 × 4561
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,255,424
Proper Divisor Sum 2,254,286
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3001133 ← → #3001147

Radix Representation

Decimal 3001138
Binary 1011011100101100110010 (22 bits)
Octal 0o13345462
Hexadecimal 0x2DCB32

Divisor Catalog (16)

1 2 7 14 47 94 329 658 4,561 9,122 31,927 63,854 214,367 428,734 1,500,569 3,001,138

Collatz Trajectory (319 steps to reach 1)

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

3,001,138 1,500,569 4,501,708 2,250,854 1,125,427 3,376,282 1,688,141 5,064,424 2,532,212 1,266,106 633,053 1,899,160 949,580 474,790 237,395 712,186 356,093 1,068,280 534,140 267,070 133,535 400,606 200,303 600,910 300,455 901,366 450,683 1,352,050 676,025 2,028,076 1,014,038 507,019 1,521,058 760,529 2,281,588 1,140,794 570,397 1,711,192 855,596 427,798 213,899 641,698 320,849 962,548 481,274 240,637 721,912 360,956 180,478 90,239 270,718 135,359 406,078 203,039 609,118 304,559 913,678 456,839 1,370,518 685,259

More profiles

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