2,961,306

2 × 3³ × 29 × 31 × 61

2,961,306 has digital root 9. The neighboring primes are 2961289 and 2961311; its proper-divisor sum differs from the starting integer by 1,219,788.

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 31 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 7,142,400

Proper Divisor Sum 4,181,094

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2961289 ← → #2961311

Radix Representation

Decimal	2961306
Binary	1011010010111110011010 (22 bits)
Octal	0o13227632
Hexadecimal	0x2D2F9A

Divisor Catalog (60 of 64)

1 2 3 6 9 18 27 29 31 54 58 61 62 87 93 122 174 183 186 261 279 366 522 549 558 783 837 899 1,098 1,566 1,647 1,674 1,769 1,798 1,891 2,697 3,294 3,538 3,782 5,307 5,394 5,673 8,091 10,614 11,346 15,921 16,182 17,019 24,273 31,842 34,038 47,763 48,546 51,057 54,839 95,526 102,114 109,678 164,517 329,034

Collatz Trajectory (138 steps to reach 1)

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

2,961,306 1,480,653 4,441,960 2,220,980 1,110,490 555,245 1,665,736 832,868 416,434 208,217 624,652 312,326 156,163 468,490 234,245 702,736 351,368 175,684 87,842 43,921 131,764 65,882 32,941 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526

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