7,066,397

13² × 41813

Starting at 7,066,397, the Collatz iteration reaches 1 after 98 steps. The first transition is 21199192; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 41813

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,651,962

Proper Divisor Sum 585,565

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7066393 ← → #7066399

Radix Representation

Decimal	7066397
Binary	11010111101001100011101 (23 bits)
Octal	0o32751435
Hexadecimal	0x6BD31D

Divisor Catalog (6)

1 13 169 41,813 543,569 7,066,397

Collatz Trajectory (98 steps to reach 1)

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

7,066,397 21,199,192 10,599,596 5,299,798 2,649,899 7,949,698 3,974,849 11,924,548 5,962,274 2,981,137 8,943,412 4,471,706 2,235,853 6,707,560 3,353,780 1,676,890 838,445 2,515,336 1,257,668 628,834 314,417 943,252 471,626 235,813 707,440 353,720 176,860 88,430 44,215 132,646 66,323 198,970 99,485 298,456 149,228 74,614 37,307 111,922 55,961 167,884 83,942 41,971 125,914 62,957 188,872 94,436 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824

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