6,493,908

2² × 3 × 41 × 67 × 197

Starting at 6,493,908, the Collatz iteration reaches 1 after 209 steps. The first transition is 3246954; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 67 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,833,664

Proper Divisor Sum 9,339,756

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6493853 ← → #6493909

Radix Representation

Decimal	6493908
Binary	11000110001011011010100 (23 bits)
Octal	0o30613324
Hexadecimal	0x6316D4

Divisor Catalog (48)

1 2 3 4 6 12 41 67 82 123 134 164 197 201 246 268 394 402 492 591 788 804 1,182 2,364 2,747 5,494 8,077 8,241 10,988 13,199 16,154 16,482 24,231 26,398 32,308 32,964 39,597 48,462 52,796 79,194 96,924 158,388 541,159 1,082,318 1,623,477 2,164,636 3,246,954 6,493,908

Collatz Trajectory (209 steps to reach 1)

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

6,493,908 3,246,954 1,623,477 4,870,432 2,435,216 1,217,608 608,804 304,402 152,201 456,604 228,302 114,151 342,454 171,227 513,682 256,841 770,524 385,262 192,631 577,894 288,947 866,842 433,421 1,300,264 650,132 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200

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