3,125,331

3³ × 11 × 17 × 619

Starting at 3,125,331, the Collatz iteration reaches 1 after 301 steps. The first transition is 9375994; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 11 × 17 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,356,800

Proper Divisor Sum 2,231,469

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3125323 ← → #3125341

Radix Representation

Decimal	3125331
Binary	1011111011000001010011 (22 bits)
Octal	0o13730123
Hexadecimal	0x2FB053

Divisor Catalog (32)

1 3 9 11 17 27 33 51 99 153 187 297 459 561 619 1,683 1,857 5,049 5,571 6,809 10,523 16,713 20,427 31,569 61,281 94,707 115,753 183,843 284,121 347,259 1,041,777 3,125,331

Collatz Trajectory (301 steps to reach 1)

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

3,125,331 9,375,994 4,687,997 14,063,992 7,031,996 3,515,998 1,757,999 5,273,998 2,636,999 7,910,998 3,955,499 11,866,498 5,933,249 17,799,748 8,899,874 4,449,937 13,349,812 6,674,906 3,337,453 10,012,360 5,006,180 2,503,090 1,251,545 3,754,636 1,877,318 938,659 2,815,978 1,407,989 4,223,968 2,111,984 1,055,992 527,996 263,998 131,999 395,998 197,999 593,998 296,999 890,998 445,499 1,336,498 668,249 2,004,748 1,002,374 501,187 1,503,562 751,781 2,255,344 1,127,672 563,836 281,918 140,959 422,878 211,439 634,318 317,159 951,478 475,739 1,427,218 713,609

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