2,909,421

3² × 37 × 8737

2,909,421 factors as 3^2 × 37 × 8737. Its 12 positive divisors give a proper-divisor sum of 1,407,151, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 8737

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,316,572

Proper Divisor Sum 1,407,151

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2909419 ← → #2909429

Radix Representation

Decimal	2909421
Binary	1011000110010011101101 (22 bits)
Octal	0o13062355
Hexadecimal	0x2C64ED

Divisor Catalog (12)

1 3 9 37 111 333 8,737 26,211 78,633 323,269 969,807 2,909,421

Collatz Trajectory (94 steps to reach 1)

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

2,909,421 8,728,264 4,364,132 2,182,066 1,091,033 3,273,100 1,636,550 818,275 2,454,826 1,227,413 3,682,240 1,841,120 920,560 460,280 230,140 115,070 57,535 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826 436,913 1,310,740 655,370 327,685 983,056 491,528 245,764 122,882 61,441 184,324 92,162 46,081 138,244 69,122 34,561 103,684 51,842 25,921 77,764 38,882 19,441 58,324 29,162 14,581 43,744 21,872 10,936 5,468 2,734 1,367 4,102 2,051 6,154 3,077

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