4,009,337

23 × 29 × 6011

4,009,337 has digital root 8. The neighboring primes are 4009333 and 4009339; its proper-divisor sum differs from the starting integer by -3,690,034.

Prime Factor Structure

Factorization String 23 × 29 × 6011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,328,640

Proper Divisor Sum 319,303

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4009333 ← → #4009339

Radix Representation

Decimal	4009337
Binary	1111010010110101111001 (22 bits)
Octal	0o17226571
Hexadecimal	0x3D2D79

Divisor Catalog (8)

1 23 29 667 6,011 138,253 174,319 4,009,337

Collatz Trajectory (141 steps to reach 1)

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

4,009,337 12,028,012 6,014,006 3,007,003 9,021,010 4,510,505 13,531,516 6,765,758 3,382,879 10,148,638 5,074,319 15,222,958 7,611,479 22,834,438 11,417,219 34,251,658 17,125,829 51,377,488 25,688,744 12,844,372 6,422,186 3,211,093 9,633,280 4,816,640 2,408,320 1,204,160 602,080 301,040 150,520 75,260 37,630 18,815 56,446 28,223 84,670 42,335 127,006 63,503 190,510 95,255 285,766 142,883 428,650 214,325 642,976 321,488 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433

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