λ
Sequence Observatory

6,818,431

47 × 239 × 607
Deficient Odd Composite

Starting at 6,818,431, the Collatz iteration reaches 1 after 284 steps. The first transition is 20455294; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 239 × 607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,004,160
Proper Divisor Sum 185,729
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6818429 ← → #6818437

Radix Representation

Decimal 6818431
Binary 11010000000101001111111 (23 bits)
Octal 0o32005177
Hexadecimal 0x680A7F

Divisor Catalog (8)

1 47 239 607 11,233 28,529 145,073 6,818,431

Collatz Trajectory (284 steps to reach 1)

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

6,818,431 20,455,294 10,227,647 30,682,942 15,341,471 46,024,414 23,012,207 69,036,622 34,518,311 103,554,934 51,777,467 155,332,402 77,666,201 232,998,604 116,499,302 58,249,651 174,748,954 87,374,477 262,123,432 131,061,716 65,530,858 32,765,429 98,296,288 49,148,144 24,574,072 12,287,036 6,143,518 3,071,759 9,215,278 4,607,639 13,822,918 6,911,459 20,734,378 10,367,189 31,101,568 15,550,784 7,775,392 3,887,696 1,943,848 971,924 485,962 242,981 728,944 364,472 182,236 91,118 45,559 136,678 68,339 205,018 102,509 307,528 153,764 76,882 38,441 115,324 57,662 28,831 86,494 43,247

More profiles

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