420,362

2 × 101 × 2081

Starting at 420,362, the Collatz iteration reaches 1 after 81 steps. The first transition is 210181; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 2081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 637,092

Proper Divisor Sum 216,730

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #420361 ← → #420367

Radix Representation

Decimal	420362
Binary	1100110101000001010 (19 bits)
Octal	0o1465012
Hexadecimal	0x66A0A

Divisor Catalog (8)

1 2 101 202 2,081 4,162 210,181 420,362

Collatz Trajectory (81 steps to reach 1)

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

420,362 210,181 630,544 315,272 157,636 78,818 39,409 118,228 59,114 29,557 88,672 44,336 22,168 11,084 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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