2,556,936

2³ × 3² × 17 × 2089

Starting at 2,556,936, the Collatz iteration reaches 1 after 218 steps. The first transition is 1278468; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 2089

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,335,900

Proper Divisor Sum 4,778,964

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2556913 ← → #2556943

Radix Representation

Decimal	2556936
Binary	1001110000010000001000 (22 bits)
Octal	0o11602010
Hexadecimal	0x270408

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 2,089 4,178 6,267 8,356 12,534 16,712 18,801 25,068 35,513 37,602 50,136 71,026 75,204 106,539 142,052 150,408 213,078 284,104 319,617 426,156 639,234 852,312 1,278,468 2,556,936

Collatz Trajectory (218 steps to reach 1)

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

2,556,936 1,278,468 639,234 319,617 958,852 479,426 239,713 719,140 359,570 179,785 539,356 269,678 134,839 404,518 202,259 606,778 303,389 910,168 455,084 227,542 113,771 341,314 170,657 511,972 255,986 127,993 383,980 191,990 95,995 287,986 143,993 431,980 215,990 107,995 323,986 161,993 485,980 242,990 121,495 364,486 182,243 546,730 273,365 820,096 410,048 205,024 102,512 51,256 25,628 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220

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