3,093,024

2⁵ × 3 × 11 × 29 × 101

3,093,024 is even and not a perfect square. Its factorization is 2^5 × 3 × 11 × 29 × 101 and its 96 divisors sum to 9,253,440.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 29 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,253,440

Proper Divisor Sum 6,160,416

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3093011 ← → #3093043

Radix Representation

Decimal	3093024
Binary	1011110011001000100000 (22 bits)
Octal	0o13631040
Hexadecimal	0x2F3220

Divisor Catalog (60 of 96)

1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 101 116 132 174 176 202 232 264 303 319 348 352 404 464 528 606 638 696 808 928 957 1,056 1,111 1,212 1,276 1,392 1,616 1,914 2,222 2,424 2,552 2,784 2,929 3,232 3,333 3,828 4,444 4,848 5,104

Collatz Trajectory (195 steps to reach 1)

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

3,093,024 1,546,512 773,256 386,628 193,314 96,657 289,972 144,986 72,493 217,480 108,740 54,370 27,185 81,556 40,778 20,389 61,168 30,584 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628

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