6,420,441

3 × 17 × 31² × 131

Starting at 6,420,441, the Collatz iteration reaches 1 after 95 steps. The first transition is 19261324; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 31^2 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,437,472

Proper Divisor Sum 3,017,031

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6420437 ← → #6420451

Radix Representation

Decimal	6420441
Binary	11000011111011111011001 (23 bits)
Octal	0o30373731
Hexadecimal	0x61F7D9

Divisor Catalog (24)

1 3 17 31 51 93 131 393 527 961 1,581 2,227 2,883 4,061 6,681 12,183 16,337 49,011 69,037 125,891 207,111 377,673 2,140,147 6,420,441

Collatz Trajectory (95 steps to reach 1)

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

6,420,441 19,261,324 9,630,662 4,815,331 14,445,994 7,222,997 21,668,992 10,834,496 5,417,248 2,708,624 1,354,312 677,156 338,578 169,289 507,868 253,934 126,967 380,902 190,451 571,354 285,677 857,032 428,516 214,258 107,129 321,388 160,694 80,347 241,042 120,521 361,564 180,782 90,391 271,174 135,587 406,762 203,381 610,144 305,072 152,536 76,268 38,134 19,067 57,202 28,601 85,804 42,902 21,451 64,354 32,177 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788

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