1,758,867

3 × 11 × 53299

Starting at 1,758,867, the Collatz iteration reaches 1 after 202 steps. The first transition is 5276602; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 53299

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,558,400

Proper Divisor Sum 799,533

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1758863 ← → #1758877

Radix Representation

Decimal	1758867
Binary	110101101011010010011 (21 bits)
Octal	0o6553223
Hexadecimal	0x1AD693

Divisor Catalog (8)

1 3 11 33 53,299 159,897 586,289 1,758,867

Collatz Trajectory (202 steps to reach 1)

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

1,758,867 5,276,602 2,638,301 7,914,904 3,957,452 1,978,726 989,363 2,968,090 1,484,045 4,452,136 2,226,068 1,113,034 556,517 1,669,552 834,776 417,388 208,694 104,347 313,042 156,521 469,564 234,782 117,391 352,174 176,087 528,262 264,131 792,394 396,197 1,188,592 594,296 297,148 148,574 74,287 222,862 111,431 334,294 167,147 501,442 250,721 752,164 376,082 188,041 564,124 282,062 141,031 423,094 211,547 634,642 317,321 951,964 475,982 237,991 713,974 356,987 1,070,962 535,481 1,606,444 803,222 401,611

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