2,961,309

3 × 13 × 75931

2,961,309 has digital root 3. The neighboring primes are 2961289 and 2961311; its proper-divisor sum differs from the starting integer by -1,670,426.

Prime Factor Structure

Factorization String 3 × 13 × 75931

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,252,192

Proper Divisor Sum 1,290,883

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2961289 ← → #2961311

Radix Representation

Decimal	2961309
Binary	1011010010111110011101 (22 bits)
Octal	0o13227635
Hexadecimal	0x2D2F9D

Divisor Catalog (8)

1 3 13 39 75,931 227,793 987,103 2,961,309

Collatz Trajectory (169 steps to reach 1)

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

2,961,309 8,883,928 4,441,964 2,220,982 1,110,491 3,331,474 1,665,737 4,997,212 2,498,606 1,249,303 3,747,910 1,873,955 5,621,866 2,810,933 8,432,800 4,216,400 2,108,200 1,054,100 527,050 263,525 790,576 395,288 197,644 98,822 49,411 148,234 74,117 222,352 111,176 55,588 27,794 13,897 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787

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