2,697,375

3 × 5³ × 7193

For 2,697,375, the 16 positive divisors have a total of 4,489,056. Removing 2,697,375 leaves 1,791,681, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^3 × 7193

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,489,056

Proper Divisor Sum 1,791,681

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2697307 ← → #2697379

Radix Representation

Decimal	2697375
Binary	1010010010100010011111 (22 bits)
Octal	0o12224237
Hexadecimal	0x29289F

Divisor Catalog (16)

1 3 5 15 25 75 125 375 7,193 21,579 35,965 107,895 179,825 539,475 899,125 2,697,375

Collatz Trajectory (223 steps to reach 1)

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

2,697,375 8,092,126 4,046,063 12,138,190 6,069,095 18,207,286 9,103,643 27,310,930 13,655,465 40,966,396 20,483,198 10,241,599 30,724,798 15,362,399 46,087,198 23,043,599 69,130,798 34,565,399 103,696,198 51,848,099 155,544,298 77,772,149 233,316,448 116,658,224 58,329,112 29,164,556 14,582,278 7,291,139 21,873,418 10,936,709 32,810,128 16,405,064 8,202,532 4,101,266 2,050,633 6,151,900 3,075,950 1,537,975 4,613,926 2,306,963 6,920,890 3,460,445 10,381,336 5,190,668 2,595,334 1,297,667 3,893,002 1,946,501 5,839,504 2,919,752 1,459,876 729,938 364,969 1,094,908 547,454 273,727 821,182 410,591 1,231,774 615,887

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