λ
Sigma Notebook

1,797,552

24 × 34 × 19 × 73
Abundant Even Composite

1,797,552 is even and not a perfect square. Its factorization is 2^4 × 3^4 × 19 × 73 and its 100 divisors sum to 5,551,480.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 19 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 5,551,480
Proper Divisor Sum 3,753,928
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1797547 ← → #1797581

Radix Representation

Decimal 1797552
Binary 110110110110110110000 (21 bits)
Octal 0o6666660
Hexadecimal 0x1B6DB0

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 73 76 81 108 114 144 146 152 162 171 216 219 228 292 304 324 342 432 438 456 513 584 648 657 684 876 912 1,026 1,168 1,296 1,314 1,368 1,387 1,539 1,752 1,971 2,052 2,628 2,736 2,774 3,078

Collatz Trajectory (88 steps to reach 1)

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

1,797,552 898,776 449,388 224,694 112,347 337,042 168,521 505,564 252,782 126,391 379,174 189,587 568,762 284,381 853,144 426,572 213,286 106,643 319,930 159,965 479,896 239,948 119,974 59,987 179,962 89,981 269,944 134,972 67,486 33,743 101,230 50,615 151,846 75,923 227,770 113,885 341,656 170,828 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416

More profiles

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