λ
Sigma Notebook

2,938,248

23 × 33 × 61 × 223
Abundant Even Composite

2,938,248 is even and not a perfect square. Its factorization is 2^3 × 3^3 × 61 × 223 and its 64 divisors sum to 8,332,800.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 61 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,332,800
Proper Divisor Sum 5,394,552
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2938241 ← → #2938261

Radix Representation

Decimal 2938248
Binary 1011001101010110001000 (22 bits)
Octal 0o13152610
Hexadecimal 0x2CD588

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 223 244 366 446 488 549 669 732 892 1,098 1,338 1,464 1,647 1,784 2,007 2,196 2,676 3,294 4,014 4,392 5,352 6,021 6,588 8,028 12,042 13,176 13,603 16,056 24,084 27,206 40,809 48,168 54,412 81,618 108,824 122,427 163,236 244,854 326,472 367,281 489,708

Collatz Trajectory (120 steps to reach 1)

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

2,938,248 1,469,124 734,562 367,281 1,101,844 550,922 275,461 826,384 413,192 206,596 103,298 51,649 154,948 77,474 38,737 116,212 58,106 29,053 87,160 43,580 21,790 10,895 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641

More profiles

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