λ
Sigma Notebook

1,925,088

25 × 3 × 11 × 1823
Abundant Even Composite

1,925,088 is even and not a perfect square. Its factorization is 2^5 × 3 × 11 × 1823 and its 48 divisors sum to 5,515,776.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 1823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,515,776
Proper Divisor Sum 3,590,688
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1925087 ← → #1925117

Radix Representation

Decimal 1925088
Binary 111010101111111100000 (21 bits)
Octal 0o7257740
Hexadecimal 0x1D5FE0

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 1,823 3,646 5,469 7,292 10,938 14,584 20,053 21,876 29,168 40,106 43,752 58,336 60,159 80,212 87,504 120,318 160,424 175,008 240,636 320,848 481,272 641,696 962,544 1,925,088

Collatz Trajectory (277 steps to reach 1)

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

1,925,088 962,544 481,272 240,636 120,318 60,159 180,478 90,239 270,718 135,359 406,078 203,039 609,118 304,559 913,678 456,839 1,370,518 685,259 2,055,778 1,027,889 3,083,668 1,541,834 770,917 2,312,752 1,156,376 578,188 289,094 144,547 433,642 216,821 650,464 325,232 162,616 81,308 40,654 20,327 60,982 30,491 91,474 45,737 137,212 68,606 34,303 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990 260,495 781,486 390,743 1,172,230 586,115 1,758,346 879,173 2,637,520

More profiles

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