2,749,775

5² × 7 × 19 × 827

2,749,775 is odd and not a perfect square. Its factorization is 5^2 × 7 × 19 × 827 and its 24 divisors sum to 4,106,880.

Prime Factor Structure

Factorization String 5^2 × 7 × 19 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,106,880

Proper Divisor Sum 1,357,105

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #2749763 ← → #2749777

Radix Representation

Decimal	2749775
Binary	1010011111010101001111 (22 bits)
Octal	0o12372517
Hexadecimal	0x29F54F

Divisor Catalog (24)

1 5 7 19 25 35 95 133 175 475 665 827 3,325 4,135 5,789 15,713 20,675 28,945 78,565 109,991 144,725 392,825 549,955 2,749,775

Collatz Trajectory (231 steps to reach 1)

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

2,749,775 8,249,326 4,124,663 12,373,990 6,186,995 18,560,986 9,280,493 27,841,480 13,920,740 6,960,370 3,480,185 10,440,556 5,220,278 2,610,139 7,830,418 3,915,209 11,745,628 5,872,814 2,936,407 8,809,222 4,404,611 13,213,834 6,606,917 19,820,752 9,910,376 4,955,188 2,477,594 1,238,797 3,716,392 1,858,196 929,098 464,549 1,393,648 696,824 348,412 174,206 87,103 261,310 130,655 391,966 195,983 587,950 293,975 881,926 440,963 1,322,890 661,445 1,984,336 992,168 496,084 248,042 124,021 372,064 186,032 93,016 46,508 23,254 11,627 34,882 17,441

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