415,930

2 × 5 × 41593

Starting at 415,930, the Collatz iteration reaches 1 after 130 steps. The first transition is 207965; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 41593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 748,692

Proper Divisor Sum 332,762

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #415901 ← → #415931

Radix Representation

Decimal	415930
Binary	1100101100010111010 (19 bits)
Octal	0o1454272
Hexadecimal	0x658BA

Divisor Catalog (8)

1 2 5 10 41,593 83,186 207,965 415,930

Collatz Trajectory (130 steps to reach 1)

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

415,930 207,965 623,896 311,948 155,974 77,987 233,962 116,981 350,944 175,472 87,736 43,868 21,934 10,967 32,902 16,451 49,354 24,677 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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