3,196,921

7 × 13 × 19 × 43²

Starting at 3,196,921, the Collatz iteration reaches 1 after 146 steps. The first transition is 9590764; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 19 × 43^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,240,320

Proper Divisor Sum 1,043,399

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3196913 ← → #3196927

Radix Representation

Decimal	3196921
Binary	1100001100011111111001 (22 bits)
Octal	0o14143771
Hexadecimal	0x30C7F9

Divisor Catalog (24)

1 7 13 19 43 91 133 247 301 559 817 1,729 1,849 3,913 5,719 10,621 12,943 24,037 35,131 74,347 168,259 245,917 456,703 3,196,921

Collatz Trajectory (146 steps to reach 1)

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

3,196,921 9,590,764 4,795,382 2,397,691 7,193,074 3,596,537 10,789,612 5,394,806 2,697,403 8,092,210 4,046,105 12,138,316 6,069,158 3,034,579 9,103,738 4,551,869 13,655,608 6,827,804 3,413,902 1,706,951 5,120,854 2,560,427 7,681,282 3,840,641 11,521,924 5,760,962 2,880,481 8,641,444 4,320,722 2,160,361 6,481,084 3,240,542 1,620,271 4,860,814 2,430,407 7,291,222 3,645,611 10,936,834 5,468,417 16,405,252 8,202,626 4,101,313 12,303,940 6,151,970 3,075,985 9,227,956 4,613,978 2,306,989 6,920,968 3,460,484 1,730,242 865,121 2,595,364 1,297,682 648,841 1,946,524 973,262 486,631 1,459,894 729,947

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