6,434,046

2 × 3³ × 19 × 6271

Starting at 6,434,046, the Collatz iteration reaches 1 after 209 steps. The first transition is 3217023; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 6271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,052,800

Proper Divisor Sum 8,618,754

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6434039 ← → #6434053

Radix Representation

Decimal	6434046
Binary	11000100010110011111110 (23 bits)
Octal	0o30426376
Hexadecimal	0x622CFE

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 6,271 12,542 18,813 37,626 56,439 112,878 119,149 169,317 238,298 338,634 357,447 714,894 1,072,341 2,144,682 3,217,023 6,434,046

Collatz Trajectory (209 steps to reach 1)

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

6,434,046 3,217,023 9,651,070 4,825,535 14,476,606 7,238,303 21,714,910 10,857,455 32,572,366 16,286,183 48,858,550 24,429,275 73,287,826 36,643,913 109,931,740 54,965,870 27,482,935 82,448,806 41,224,403 123,673,210 61,836,605 185,509,816 92,754,908 46,377,454 23,188,727 69,566,182 34,783,091 104,349,274 52,174,637 156,523,912 78,261,956 39,130,978 19,565,489 58,696,468 29,348,234 14,674,117 44,022,352 22,011,176 11,005,588 5,502,794 2,751,397 8,254,192 4,127,096 2,063,548 1,031,774 515,887 1,547,662 773,831 2,321,494 1,160,747 3,482,242 1,741,121 5,223,364 2,611,682 1,305,841 3,917,524 1,958,762 979,381 2,938,144 1,469,072

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