7,031,739

3 × 11 × 13 × 37 × 443

Starting at 7,031,739, the Collatz iteration reaches 1 after 152 steps. The first transition is 21095218; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 37 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,337,984

Proper Divisor Sum 4,306,245

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7031737 ← → #7031743

Radix Representation

Decimal	7031739
Binary	11010110100101110111011 (23 bits)
Octal	0o32645673
Hexadecimal	0x6B4BBB

Divisor Catalog (32)

1 3 11 13 33 37 39 111 143 407 429 443 481 1,221 1,329 1,443 4,873 5,291 5,759 14,619 15,873 16,391 17,277 49,173 63,349 180,301 190,047 213,083 540,903 639,249 2,343,913 7,031,739

Collatz Trajectory (152 steps to reach 1)

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

7,031,739 21,095,218 10,547,609 31,642,828 15,821,414 7,910,707 23,732,122 11,866,061 35,598,184 17,799,092 8,899,546 4,449,773 13,349,320 6,674,660 3,337,330 1,668,665 5,005,996 2,502,998 1,251,499 3,754,498 1,877,249 5,631,748 2,815,874 1,407,937 4,223,812 2,111,906 1,055,953 3,167,860 1,583,930 791,965 2,375,896 1,187,948 593,974 296,987 890,962 445,481 1,336,444 668,222 334,111 1,002,334 501,167 1,503,502 751,751 2,255,254 1,127,627 3,382,882 1,691,441 5,074,324 2,537,162 1,268,581 3,805,744 1,902,872 951,436 475,718 237,859 713,578 356,789 1,070,368 535,184 267,592

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