6,891,387

3 × 853 × 2693

Starting at 6,891,387, the Collatz iteration reaches 1 after 160 steps. The first transition is 20674162; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 853 × 2693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,202,704

Proper Divisor Sum 2,311,317

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6891383 ← → #6891413

Radix Representation

Decimal	6891387
Binary	11010010010011101111011 (23 bits)
Octal	0o32223573
Hexadecimal	0x69277B

Divisor Catalog (8)

1 3 853 2,559 2,693 8,079 2,297,129 6,891,387

Collatz Trajectory (160 steps to reach 1)

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

6,891,387 20,674,162 10,337,081 31,011,244 15,505,622 7,752,811 23,258,434 11,629,217 34,887,652 17,443,826 8,721,913 26,165,740 13,082,870 6,541,435 19,624,306 9,812,153 29,436,460 14,718,230 7,359,115 22,077,346 11,038,673 33,116,020 16,558,010 8,279,005 24,837,016 12,418,508 6,209,254 3,104,627 9,313,882 4,656,941 13,970,824 6,985,412 3,492,706 1,746,353 5,239,060 2,619,530 1,309,765 3,929,296 1,964,648 982,324 491,162 245,581 736,744 368,372 184,186 92,093 276,280 138,140 69,070 34,535 103,606 51,803 155,410 77,705 233,116 116,558 58,279 174,838 87,419 262,258

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