4,049,682

2 × 3 × 7 × 13 × 7417

Starting at 4,049,682, the Collatz iteration reaches 1 after 123 steps. The first transition is 2024841; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 7417

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,969,792

Proper Divisor Sum 5,920,110

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4049609 ← → #4049707

Radix Representation

Decimal	4049682
Binary	1111011100101100010010 (22 bits)
Octal	0o17345422
Hexadecimal	0x3DCB12

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 7,417 14,834 22,251 44,502 51,919 96,421 103,838 155,757 192,842 289,263 311,514 578,526 674,947 1,349,894 2,024,841 4,049,682

Collatz Trajectory (123 steps to reach 1)

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

4,049,682 2,024,841 6,074,524 3,037,262 1,518,631 4,555,894 2,277,947 6,833,842 3,416,921 10,250,764 5,125,382 2,562,691 7,688,074 3,844,037 11,532,112 5,766,056 2,883,028 1,441,514 720,757 2,162,272 1,081,136 540,568 270,284 135,142 67,571 202,714 101,357 304,072 152,036 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687

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