556,517

13² × 37 × 89

Starting at 556,517, the Collatz iteration reaches 1 after 190 steps. The first transition is 1669552; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 37 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 625,860

Proper Divisor Sum 69,343

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #556513 ← → #556519

Radix Representation

Decimal	556517
Binary	10000111110111100101 (20 bits)
Octal	0o2076745
Hexadecimal	0x87DE5

Divisor Catalog (12)

1 13 37 89 169 481 1,157 3,293 6,253 15,041 42,809 556,517

Collatz Trajectory (190 steps to reach 1)

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

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 1,204,834 602,417 1,807,252 903,626 451,813 1,355,440 677,720 338,860 169,430 84,715 254,146 127,073

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