6,730,956

2² × 3² × 59 × 3169

Starting at 6,730,956, the Collatz iteration reaches 1 after 253 steps. The first transition is 3365478; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 59 × 3169

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,308,200

Proper Divisor Sum 10,577,244

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6730951 ← → #6730961

Radix Representation

Decimal	6730956
Binary	11001101011010011001100 (23 bits)
Octal	0o31532314
Hexadecimal	0x66B4CC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1,062 2,124 3,169 6,338 9,507 12,676 19,014 28,521 38,028 57,042 114,084 186,971 373,942 560,913 747,884 1,121,826 1,682,739 2,243,652 3,365,478 6,730,956

Collatz Trajectory (253 steps to reach 1)

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

6,730,956 3,365,478 1,682,739 5,048,218 2,524,109 7,572,328 3,786,164 1,893,082 946,541 2,839,624 1,419,812 709,906 354,953 1,064,860 532,430 266,215 798,646 399,323 1,197,970 598,985 1,796,956 898,478 449,239 1,347,718 673,859 2,021,578 1,010,789 3,032,368 1,516,184 758,092 379,046 189,523 568,570 284,285 852,856 426,428 213,214 106,607 319,822 159,911 479,734 239,867 719,602 359,801 1,079,404 539,702 269,851 809,554 404,777 1,214,332 607,166 303,583 910,750 455,375 1,366,126 683,063 2,049,190 1,024,595 3,073,786 1,536,893

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