6,738,918

2 × 3 × 211 × 5323

Starting at 6,738,918, the Collatz iteration reaches 1 after 116 steps. The first transition is 3369459; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 211 × 5323

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,544,256

Proper Divisor Sum 6,805,338

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6738913 ← → #6738929

Radix Representation

Decimal	6738918
Binary	11001101101001111100110 (23 bits)
Octal	0o31551746
Hexadecimal	0x66D3E6

Divisor Catalog (16)

1 2 3 6 211 422 633 1,266 5,323 10,646 15,969 31,938 1,123,153 2,246,306 3,369,459 6,738,918

Collatz Trajectory (116 steps to reach 1)

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

6,738,918 3,369,459 10,108,378 5,054,189 15,162,568 7,581,284 3,790,642 1,895,321 5,685,964 2,842,982 1,421,491 4,264,474 2,132,237 6,396,712 3,198,356 1,599,178 799,589 2,398,768 1,199,384 599,692 299,846 149,923 449,770 224,885 674,656 337,328 168,664 84,332 42,166 21,083 63,250 31,625 94,876 47,438 23,719 71,158 35,579 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472

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