4,072,926

2 × 3 × 11 × 13 × 47 × 101

Starting at 4,072,926, the Collatz iteration reaches 1 after 229 steps. The first transition is 2036463; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 47 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 9,870,336

Proper Divisor Sum 5,797,410

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4072919 ← → #4072927

Radix Representation

Decimal	4072926
Binary	1111100010010111011110 (22 bits)
Octal	0o17422736
Hexadecimal	0x3E25DE

Divisor Catalog (60 of 64)

1 2 3 6 11 13 22 26 33 39 47 66 78 94 101 141 143 202 282 286 303 429 517 606 611 858 1,034 1,111 1,222 1,313 1,551 1,833 2,222 2,626 3,102 3,333 3,666 3,939 4,747 6,666 6,721 7,878 9,494 13,442 14,241 14,443 20,163 28,482 28,886 40,326 43,329 52,217 61,711 86,658 104,434 123,422 156,651 185,133 313,302 370,266

Collatz Trajectory (229 steps to reach 1)

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

4,072,926 2,036,463 6,109,390 3,054,695 9,164,086 4,582,043 13,746,130 6,873,065 20,619,196 10,309,598 5,154,799 15,464,398 7,732,199 23,196,598 11,598,299 34,794,898 17,397,449 52,192,348 26,096,174 13,048,087 39,144,262 19,572,131 58,716,394 29,358,197 88,074,592 44,037,296 22,018,648 11,009,324 5,504,662 2,752,331 8,256,994 4,128,497 12,385,492 6,192,746 3,096,373 9,289,120 4,644,560 2,322,280 1,161,140 580,570 290,285 870,856 435,428 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698 91,849 275,548 137,774 68,887 206,662 103,331 309,994 154,997

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