3,188,007

3² × 23 × 15401

Starting at 3,188,007, the Collatz iteration reaches 1 after 146 steps. The first transition is 9564022; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 15401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,805,424

Proper Divisor Sum 1,617,417

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3187979 ← → #3188033

Radix Representation

Decimal	3188007
Binary	1100001010010100100111 (22 bits)
Octal	0o14122447
Hexadecimal	0x30A527

Divisor Catalog (12)

1 3 9 23 69 207 15,401 46,203 138,609 354,223 1,062,669 3,188,007

Collatz Trajectory (146 steps to reach 1)

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

3,188,007 9,564,022 4,782,011 14,346,034 7,173,017 21,519,052 10,759,526 5,379,763 16,139,290 8,069,645 24,208,936 12,104,468 6,052,234 3,026,117 9,078,352 4,539,176 2,269,588 1,134,794 567,397 1,702,192 851,096 425,548 212,774 106,387 319,162 159,581 478,744 239,372 119,686 59,843 179,530 89,765 269,296 134,648 67,324 33,662 16,831 50,494 25,247 75,742 37,871 113,614 56,807 170,422 85,211 255,634 127,817 383,452 191,726 95,863 287,590 143,795 431,386 215,693 647,080 323,540 161,770 80,885 242,656 121,328

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