2,164,761

3² × 31 × 7759

2,164,761 has the prime decomposition 3^2 × 31 × 7759. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 7759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,228,160

Proper Divisor Sum 1,063,399

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2164739 ← → #2164787

Radix Representation

Decimal	2164761
Binary	1000010000100000011001 (22 bits)
Octal	0o10204031
Hexadecimal	0x210819

Divisor Catalog (12)

1 3 9 31 93 279 7,759 23,277 69,831 240,529 721,587 2,164,761

Collatz Trajectory (210 steps to reach 1)

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

2,164,761 6,494,284 3,247,142 1,623,571 4,870,714 2,435,357 7,306,072 3,653,036 1,826,518 913,259 2,739,778 1,369,889 4,109,668 2,054,834 1,027,417 3,082,252 1,541,126 770,563 2,311,690 1,155,845 3,467,536 1,733,768 866,884 433,442 216,721 650,164 325,082 162,541 487,624 243,812 121,906 60,953 182,860 91,430 45,715 137,146 68,573 205,720 102,860 51,430 25,715 77,146 38,573 115,720 57,860 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733

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