λ
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556,818

2 × 3 × 17 × 53 × 103
Abundant Even Composite

556,818 factors as 2 × 3 × 17 × 53 × 103. Its 32 positive divisors give a proper-divisor sum of 656,238, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 53 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,213,056
Proper Divisor Sum 656,238
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #556817 ← → #556819

Radix Representation

Decimal 556818
Binary 10000111111100010010 (20 bits)
Octal 0o2077422
Hexadecimal 0x87F12

Divisor Catalog (32)

1 2 3 6 17 34 51 53 102 103 106 159 206 309 318 618 901 1,751 1,802 2,703 3,502 5,253 5,406 5,459 10,506 10,918 16,377 32,754 92,803 185,606 278,409 556,818

Collatz Trajectory (177 steps to reach 1)

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

556,818 278,409 835,228 417,614 208,807 626,422 313,211 939,634 469,817 1,409,452 704,726 352,363 1,057,090 528,545 1,585,636 792,818 396,409 1,189,228 594,614 297,307 891,922 445,961 1,337,884 668,942 334,471 1,003,414 501,707 1,505,122 752,561 2,257,684 1,128,842 564,421 1,693,264 846,632 423,316 211,658 105,829 317,488 158,744 79,372 39,686 19,843 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589

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