557,615

5 × 229 × 487

Starting at 557,615, the Collatz iteration reaches 1 after 159 steps. The first transition is 1672846; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 229 × 487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 673,440

Proper Divisor Sum 115,825

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #557611 ← → #557633

Radix Representation

Decimal	557615
Binary	10001000001000101111 (20 bits)
Octal	0o2101057
Hexadecimal	0x8822F

Divisor Catalog (8)

1 5 229 487 1,145 2,435 111,523 557,615

Collatz Trajectory (159 steps to reach 1)

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

557,615 1,672,846 836,423 2,509,270 1,254,635 3,763,906 1,881,953 5,645,860 2,822,930 1,411,465 4,234,396 2,117,198 1,058,599 3,175,798 1,587,899 4,763,698 2,381,849 7,145,548 3,572,774 1,786,387 5,359,162 2,679,581 8,038,744 4,019,372 2,009,686 1,004,843 3,014,530 1,507,265 4,521,796 2,260,898 1,130,449 3,391,348 1,695,674 847,837 2,543,512 1,271,756 635,878 317,939 953,818 476,909 1,430,728 715,364 357,682 178,841 536,524 268,262 134,131 402,394 201,197 603,592 301,796 150,898 75,449 226,348 113,174 56,587 169,762 84,881 254,644 127,322

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