λ
Sigma Notebook

3,537,325

52 × 11 × 19 × 677
Deficient Odd Composite

3,537,325 is odd and not a perfect square. Its factorization is 5^2 × 11 × 19 × 677 and its 24 divisors sum to 5,044,320.

Prime Factor Structure

Factorization String 5^2 × 11 × 19 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,044,320
Proper Divisor Sum 1,506,995
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3537307 ← → #3537337

Radix Representation

Decimal 3537325
Binary 1101011111100110101101 (22 bits)
Octal 0o15374655
Hexadecimal 0x35F9AD

Divisor Catalog (24)

1 5 11 19 25 55 95 209 275 475 677 1,045 3,385 5,225 7,447 12,863 16,925 37,235 64,315 141,493 186,175 321,575 707,465 3,537,325

Collatz Trajectory (128 steps to reach 1)

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

3,537,325 10,611,976 5,305,988 2,652,994 1,326,497 3,979,492 1,989,746 994,873 2,984,620 1,492,310 746,155 2,238,466 1,119,233 3,357,700 1,678,850 839,425 2,518,276 1,259,138 629,569 1,888,708 944,354 472,177 1,416,532 708,266 354,133 1,062,400 531,200 265,600 132,800 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743

More profiles

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