421,170

2 × 3 × 5 × 101 × 139

Starting at 421,170, the Collatz iteration reaches 1 after 156 steps. The first transition is 210585; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 101 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,028,160

Proper Divisor Sum 606,990

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #421163 ← → #421177

Radix Representation

Decimal	421170
Binary	1100110110100110010 (19 bits)
Octal	0o1466462
Hexadecimal	0x66D32

Divisor Catalog (32)

1 2 3 5 6 10 15 30 101 139 202 278 303 417 505 606 695 834 1,010 1,390 1,515 2,085 3,030 4,170 14,039 28,078 42,117 70,195 84,234 140,390 210,585 421,170

Collatz Trajectory (156 steps to reach 1)

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

421,170 210,585 631,756 315,878 157,939 473,818 236,909 710,728 355,364 177,682 88,841 266,524 133,262 66,631 199,894 99,947 299,842 149,921 449,764 224,882 112,441 337,324 168,662 84,331 252,994 126,497 379,492 189,746 94,873 284,620 142,310 71,155 213,466 106,733 320,200 160,100 80,050 40,025 120,076 60,038 30,019 90,058 45,029 135,088 67,544 33,772 16,886 8,443 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031

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