7,059,921

3 × 11 × 349 × 613

Starting at 7,059,921, the Collatz iteration reaches 1 after 129 steps. The first transition is 21179764; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 349 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,315,200

Proper Divisor Sum 3,255,279

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7059911 ← → #7059931

Radix Representation

Decimal	7059921
Binary	11010111011100111010001 (23 bits)
Octal	0o32734721
Hexadecimal	0x6BB9D1

Divisor Catalog (16)

1 3 11 33 349 613 1,047 1,839 3,839 6,743 11,517 20,229 213,937 641,811 2,353,307 7,059,921

Collatz Trajectory (129 steps to reach 1)

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

7,059,921 21,179,764 10,589,882 5,294,941 15,884,824 7,942,412 3,971,206 1,985,603 5,956,810 2,978,405 8,935,216 4,467,608 2,233,804 1,116,902 558,451 1,675,354 837,677 2,513,032 1,256,516 628,258 314,129 942,388 471,194 235,597 706,792 353,396 176,698 88,349 265,048 132,524 66,262 33,131 99,394 49,697 149,092 74,546 37,273 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465

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