5,756,355

3² × 5 × 11 × 29 × 401

Starting at 5,756,355, the Collatz iteration reaches 1 after 206 steps. The first transition is 17269066; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 29 × 401

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,288,160

Proper Divisor Sum 5,531,805

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5756351 ← → #5756357

Radix Representation

Decimal	5756355
Binary	10101111101010111000011 (23 bits)
Octal	0o25752703
Hexadecimal	0x57D5C3

Divisor Catalog (48)

1 3 5 9 11 15 29 33 45 55 87 99 145 165 261 319 401 435 495 957 1,203 1,305 1,595 2,005 2,871 3,609 4,411 4,785 6,015 11,629 13,233 14,355 18,045 22,055 34,887 39,699 58,145 66,165 104,661 127,919 174,435 198,495 383,757 523,305 639,595 1,151,271 1,918,785 5,756,355

Collatz Trajectory (206 steps to reach 1)

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

5,756,355 17,269,066 8,634,533 25,903,600 12,951,800 6,475,900 3,237,950 1,618,975 4,856,926 2,428,463 7,285,390 3,642,695 10,928,086 5,464,043 16,392,130 8,196,065 24,588,196 12,294,098 6,147,049 18,441,148 9,220,574 4,610,287 13,830,862 6,915,431 20,746,294 10,373,147 31,119,442 15,559,721 46,679,164 23,339,582 11,669,791 35,009,374 17,504,687 52,514,062 26,257,031 78,771,094 39,385,547 118,156,642 59,078,321 177,234,964 88,617,482 44,308,741 132,926,224 66,463,112 33,231,556 16,615,778 8,307,889 24,923,668 12,461,834 6,230,917 18,692,752 9,346,376 4,673,188 2,336,594 1,168,297 3,504,892 1,752,446 876,223 2,628,670 1,314,335

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