6,612,736

2⁸ × 13 × 1987

Starting at 6,612,736, the Collatz iteration reaches 1 after 178 steps. The first transition is 3306368; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 13 × 1987

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,222,152

Proper Divisor Sum 7,609,416

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6612733 ← → #6612791

Radix Representation

Decimal	6612736
Binary	11001001110011100000000 (23 bits)
Octal	0o31163400
Hexadecimal	0x64E700

Divisor Catalog (36)

1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1,664 1,987 3,328 3,974 7,948 15,896 25,831 31,792 51,662 63,584 103,324 127,168 206,648 254,336 413,296 508,672 826,592 1,653,184 3,306,368 6,612,736

Collatz Trajectory (178 steps to reach 1)

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

6,612,736 3,306,368 1,653,184 826,592 413,296 206,648 103,324 51,662 25,831 77,494 38,747 116,242 58,121 174,364 87,182 43,591 130,774 65,387 196,162 98,081 294,244 147,122 73,561 220,684 110,342 55,171 165,514 82,757 248,272 124,136 62,068 31,034 15,517 46,552 23,276 11,638 5,819 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168

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