558,335

5 × 111667

Starting at 558,335, the Collatz iteration reaches 1 after 283 steps. The first transition is 1675006; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 111667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 670,008

Proper Divisor Sum 111,673

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #558319 ← → #558343

Radix Representation

Decimal	558335
Binary	10001000010011111111 (20 bits)
Octal	0o2102377
Hexadecimal	0x884FF

Divisor Catalog (4)

1 5 111,667 558,335

Collatz Trajectory (283 steps to reach 1)

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

558,335 1,675,006 837,503 2,512,510 1,256,255 3,768,766 1,884,383 5,653,150 2,826,575 8,479,726 4,239,863 12,719,590 6,359,795 19,079,386 9,539,693 28,619,080 14,309,540 7,154,770 3,577,385 10,732,156 5,366,078 2,683,039 8,049,118 4,024,559 12,073,678 6,036,839 18,110,518 9,055,259 27,165,778 13,582,889 40,748,668 20,374,334 10,187,167 30,561,502 15,280,751 45,842,254 22,921,127 68,763,382 34,381,691 103,145,074 51,572,537 154,717,612 77,358,806 38,679,403 116,038,210 58,019,105 174,057,316 87,028,658 43,514,329 130,542,988 65,271,494 32,635,747 97,907,242 48,953,621 146,860,864 73,430,432 36,715,216 18,357,608 9,178,804 4,589,402

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