2,514,429

3³ × 23 × 4049

For 2,514,429, the 16 positive divisors have a total of 3,888,000. Removing 2,514,429 leaves 1,373,571, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 23 × 4049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,888,000

Proper Divisor Sum 1,373,571

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2514427 ← → #2514433

Radix Representation

Decimal	2514429
Binary	1001100101110111111101 (22 bits)
Octal	0o11456775
Hexadecimal	0x265DFD

Divisor Catalog (16)

1 3 9 23 27 69 207 621 4,049 12,147 36,441 93,127 109,323 279,381 838,143 2,514,429

Collatz Trajectory (174 steps to reach 1)

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

2,514,429 7,543,288 3,771,644 1,885,822 942,911 2,828,734 1,414,367 4,243,102 2,121,551 6,364,654 3,182,327 9,546,982 4,773,491 14,320,474 7,160,237 21,480,712 10,740,356 5,370,178 2,685,089 8,055,268 4,027,634 2,013,817 6,041,452 3,020,726 1,510,363 4,531,090 2,265,545 6,796,636 3,398,318 1,699,159 5,097,478 2,548,739 7,646,218 3,823,109 11,469,328 5,734,664 2,867,332 1,433,666 716,833 2,150,500 1,075,250 537,625 1,612,876 806,438 403,219 1,209,658 604,829 1,814,488 907,244 453,622 226,811 680,434 340,217 1,020,652 510,326 255,163 765,490 382,745 1,148,236 574,118

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