2,609,772

2² × 3 × 11 × 17 × 1163

Starting at 2,609,772, the Collatz iteration reaches 1 after 218 steps. The first transition is 1304886; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 17 × 1163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,039,872

Proper Divisor Sum 4,430,100

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2609767 ← → #2609777

Radix Representation

Decimal	2609772
Binary	1001111101001001101100 (22 bits)
Octal	0o11751154
Hexadecimal	0x27D26C

Divisor Catalog (48)

1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1,122 1,163 2,244 2,326 3,489 4,652 6,978 12,793 13,956 19,771 25,586 38,379 39,542 51,172 59,313 76,758 79,084 118,626 153,516 217,481 237,252 434,962 652,443 869,924 1,304,886 2,609,772

Collatz Trajectory (218 steps to reach 1)

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

2,609,772 1,304,886 652,443 1,957,330 978,665 2,935,996 1,467,998 733,999 2,201,998 1,100,999 3,302,998 1,651,499 4,954,498 2,477,249 7,431,748 3,715,874 1,857,937 5,573,812 2,786,906 1,393,453 4,180,360 2,090,180 1,045,090 522,545 1,567,636 783,818 391,909 1,175,728 587,864 293,932 146,966 73,483 220,450 110,225 330,676 165,338 82,669 248,008 124,004 62,002 31,001 93,004 46,502 23,251 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759

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