407,425

5² × 43 × 379

Starting at 407,425, the Collatz iteration reaches 1 after 86 steps. The first transition is 1222276; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 43 × 379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 518,320

Proper Divisor Sum 110,895

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #407401 ← → #407437

Radix Representation

Decimal	407425
Binary	1100011011110000001 (19 bits)
Octal	0o1433601
Hexadecimal	0x63781

Divisor Catalog (12)

1 5 25 43 215 379 1,075 1,895 9,475 16,297 81,485 407,425

Collatz Trajectory (86 steps to reach 1)

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

407,425 1,222,276 611,138 305,569 916,708 458,354 229,177 687,532 343,766 171,883 515,650 257,825 773,476 386,738 193,369 580,108 290,054 145,027 435,082 217,541 652,624 326,312 163,156 81,578 40,789 122,368 61,184 30,592 15,296 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

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