6,993,404

2² × 11 × 158941

Starting at 6,993,404, the Collatz iteration reaches 1 after 129 steps. The first transition is 3496702; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 158941

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,351,128

Proper Divisor Sum 6,357,724

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6993401 ← → #6993421

Radix Representation

Decimal	6993404
Binary	11010101011010111111100 (23 bits)
Octal	0o32532774
Hexadecimal	0x6AB5FC

Divisor Catalog (12)

1 2 4 11 22 44 158,941 317,882 635,764 1,748,351 3,496,702 6,993,404

Collatz Trajectory (129 steps to reach 1)

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

6,993,404 3,496,702 1,748,351 5,245,054 2,622,527 7,867,582 3,933,791 11,801,374 5,900,687 17,702,062 8,851,031 26,553,094 13,276,547 39,829,642 19,914,821 59,744,464 29,872,232 14,936,116 7,468,058 3,734,029 11,202,088 5,601,044 2,800,522 1,400,261 4,200,784 2,100,392 1,050,196 525,098 262,549 787,648 393,824 196,912 98,456 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397

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